Maths
Chemistry
Biology
English Lang.
History
Energy transfers (a2 only)
Responding to change (a2 only)
Infection and response
Homeostasis and response
Cell biology
Biological molecules
Organisation
Substance exchange
The control of gene expression (a2 only)
Bioenergetics
Genetic information & variation
Inheritance, variation and evolution
Genetics & ecosystems (a2 only)
Ecology
Cells
Show all topics
Britain & the wider world: 1745 -1901
2d religious conflict and the church in england, c1529-c1570
Medieval period: 1066 -1509
1f industrialisation and the people: britain, c1783-1885
The cold war
1c the tudors: england, 1485-1603
1l the quest for political stability: germany, 1871-1991
Inter-war germany
2m wars and welfare: britain in transition, 1906-1957
2j america: a nation divided, c1845-1877
World war two & the holocaust
2n revolution and dictatorship: russia, 1917-1953
2s the making of modern britain, 1951-2007
World war one
Britain: 1509 -1745
Show all topics
3
0
Ffs
20/10/2025
Maths
🤍 similtaneous equations (basics) 🤍
137
•
20 Oct 2025
•
Ffs
@fenna_dayleee
Understanding simultaneous equationsis crucial for students learning algebra. This... Show more
This page delves deeper into solving simultaneous equations techniques, focusing on more complex problems and introducing the concept of adding or subtracting equations to eliminate variables.
The lesson begins with a series of equations for students to solve, ranging from simple linear equations to more complex ones involving negative numbers and fractions.
Highlight: The page emphasizes the importance of understanding sign rules when working with negative numbers in equations.
Example: When multiplying or dividing negative numbers, if the signs are different, the answer is negative. For instance, -5 × 5 = -25.
The lesson then moves on to the technique of adding or subtracting equations in simultaneous equation systems to eliminate variables.
Example: In the system 9x - 4y = 19 and 9x + 4y = 20, adding the equations eliminates the y variable, making it easier to solve for x.
The page provides several worked examples of solving simultaneous equations, demonstrating various techniques including substitution and elimination methods.
Vocabulary: Elimination - a method of solving simultaneous equations by adding or subtracting equations to remove one variable.
The lesson concludes with a set of practice problems for students to apply the techniques they've learned.
Highlight: The page reinforces the importance of checking solutions by substituting the found values back into both original equations.
This comprehensive guide provides students with a solid foundation in understanding simultaneous equations basics, preparing them for more advanced mathematical concepts.
This page introduces the concept of simultaneous equations and provides examples of solving equations with one variable before moving on to systems with two variables.
Definition: Simultaneous equations are a set of equations that must be solved together to find the values of multiple unknown variables.
The page begins with simple equations where x is given as 4, and students are asked to solve for various expressions. This serves as a warm-up exercise to ensure understanding of basic algebraic concepts.
Example: If x = 4, solve for 2x = 8. The solution is straightforward: 2 = 8, which is true.
The lesson then progresses to more complex equations, including quadratic expressions and equations with fractions.
Highlight: The page emphasizes the importance of substitution in solving simultaneous equations.
A real-world example is provided involving the cost of coffee and tea, demonstrating how simultaneous equations can be applied to practical situations.
Example: Two coffees and one tea cost €1.40, while three coffees and one tea cost €1.70. By setting up and solving simultaneous equations, students can determine that coffee costs 30p.
The page concludes with practice problems, encouraging students to apply the methods they've learned.
Vocabulary: Substitution - the process of replacing a variable in an equation with its equivalent expression from another equation.
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
App Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Maths
20 Oct 2025
137
2 pages
Ffs @fenna_dayleee
Understanding simultaneous equationsis crucial for students learning algebra. This guide covers the basics of solving simultaneous equations, including methods like substitution and elimination. It provides examples and practice problems... Show more
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page delves deeper into solving simultaneous equations techniques, focusing on more complex problems and introducing the concept of adding or subtracting equations to eliminate variables.
The lesson begins with a series of equations for students to solve, ranging from simple linear equations to more complex ones involving negative numbers and fractions.
Highlight The page emphasizes the importance of understanding sign rules when working with negative numbers in equations.
Example When multiplying or dividing negative numbers, if the signs are different, the answer is negative. For instance, -5 × 5 = -25.
The lesson then moves on to the technique of adding or subtracting equations in simultaneous equation systems to eliminate variables.
Example In the system 9x - 4y = 19 and 9x + 4y = 20, adding the equations eliminates the y variable, making it easier to solve for x.
The page provides several worked examples of solving simultaneous equations, demonstrating various techniques including substitution and elimination methods.
Vocabulary Elimination - a method of solving simultaneous equations by adding or subtracting equations to remove one variable.
The lesson concludes with a set of practice problems for students to apply the techniques they've learned.
Highlight The page reinforces the importance of checking solutions by substituting the found values back into both original equations.
This comprehensive guide provides students with a solid foundation in understanding simultaneous equations basics, preparing them for more advanced mathematical concepts.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces the concept of simultaneous equations and provides examples of solving equations with one variable before moving on to systems with two variables.
Definition Simultaneous equations are a set of equations that must be solved together to find the values of multiple unknown variables.
The page begins with simple equations where x is given as 4, and students are asked to solve for various expressions. This serves as a warm-up exercise to ensure understanding of basic algebraic concepts.
Example If x = 4, solve for 2x = 8. The solution is straightforward 2 = 8, which is true.
The lesson then progresses to more complex equations, including quadratic expressions and equations with fractions.
Highlight The page emphasizes the importance of substitution in solving simultaneous equations.
A real-world example is provided involving the cost of coffee and tea, demonstrating how simultaneous equations can be applied to practical situations.
Example Two coffees and one tea cost €1.40, while three coffees and one tea cost €1.70. By setting up and solving simultaneous equations, students can determine that coffee costs 30p.
The page concludes with practice problems, encouraging students to apply the methods they've learned.
Vocabulary Substitution - the process of replacing a variable in an equation with its equivalent expression from another equation.
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
3
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Master the technique of expanding triple brackets with this concise guide tailored for GCSE students. This resource covers key concepts such as special products, the distributive property, and binomial expansion, providing clear examples and step-by-step explanations to enhance your understanding and problem-solving skills.
MathsThis comprehensive guide covers the techniques for expanding single, double, and triple brackets in mathematics. Learn methods such as FOIL and grid multiplication, and practice collecting like terms to simplify expressions. Ideal for Year 8/9 students looking to strengthen their algebra skills.
MathsExplore the BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) rules for solving mathematical equations. This summary provides clear examples and step-by-step guidance on applying the order of operations effectively. Ideal for students looking to enhance their problem-solving skills in mathematics.
MathsComprehensive revision notes covering key concepts from GCSE Maths Units 9.1 and 9.2, including multi-step equations, LCM, HCF, significant figures, algebraic manipulation, and more. Perfect for Year 9 students preparing for exams.
MathsExplore essential algebraic concepts including graphing methods, solving equations, scientific notation, and properties of sequences. This comprehensive summary covers key topics such as inequalities, factoring, and arithmetic operations, providing a solid foundation for mastering algebra. Ideal for students preparing for exams or seeking to enhance their understanding of mathematical principles.
MathsExplore essential Year 7 algebra concepts with this comprehensive guide. Dive into function machines, algebraic notation, sequences, and inverse operations. This resource includes key vocabulary, exemplar questions, and strategies for effective teaching and learning. Perfect for educators and students aiming to strengthen their understanding of algebraic principles.
MathsApp Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
