Subjects

Maths

Algebra

Expressions & formulae

Easy Ways to Solve Simultaneous Equations: Fun Worksheets and Answers

Name: Knowunity
Brand: Knowunity

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Easy Ways to Solve Simultaneous Equations: Fun Worksheets and Answers

👤

@sklwork

73 Followers

This document provides a comprehensive guide on solving simultaneous equations using various methods, including substitution and elimination. It includes step-by-step examples, practice questions, and detailed solutions to help students master these techniques.

Key points:

Covers substitution and elimination methods for solving simultaneous equations
Provides detailed examples with step-by-step solutions
Includes practice questions with answers
Offers tips and strategies for solving different types of simultaneous equations

17/09/2023

188

solving simultaneous equallons using sunsillusion
exercise:
³. y. 5x -4
y 3x + 12
5x4 = 3x + 12
-12
-5x
:2
+26
- 4 = 3x 112
5x-16 = 3x
2. 3y

View

Simultaneous Equations Classwork

This page presents a solving simultaneous equations classwork step by step worksheet with multiple problems and their detailed solutions using the elimination method.

The elimination method involves adding or subtracting equations to eliminate one variable, allowing for the solution of the remaining variable. The page outlines a step-by-step approach:

Underline the matching equation parts
Add when signs are different, subtract when signs are the same
Find the value of the non-underlined letter
Substitute the value into one of the original equations
Multiply numbers if necessary
Subtract whole numbers
Divide by the coefficient of the underlined variable

Example: 4g + 7h = 41 2g + 7h = 31

Step 1: Underline matching parts (7h) Step 2: Subtract equations (signs are the same) Step 3: 2g = 10 Step 4: g = 5 Step 5-7: Substitute g = 5 into original equation to find h

The worksheet provides multiple problems for students to practice and reinforce their understanding of the elimination method.

Highlight: The elimination method is particularly effective when both equations have the same coefficient for one of the variables, making it easy to eliminate that variable by subtraction.

View

Solving Simultaneous Equations Using the Elimination Method

This page delves deeper into the elimination method for simultaneous equations, providing more complex examples and a step-by-step guide.

The elimination method is presented as a five-step process:

Label equations and rearrange to the correct form
Ensure the same number of x's or y's in both equations
Eliminate one variable (x or y)
Solve the resulting equation for the remaining variable
Substitute the found value to determine the other variable

Example: 7x + 2y = 23 3x + 2y = 11

Step 1: Equations are already in the correct form Step 2: Multiply the second equation by -1 to get -3x - 2y = -11 Step 3: Add the equations to eliminate y 4x = 12 Step 4: Solve for x: x = 3 Step 5: Substitute x = 3 into one of the original equations to find y

The page includes several examples of increasing complexity, demonstrating how to handle equations with different coefficients and when multiplication is necessary before elimination.

Highlight: The elimination method is versatile and can be applied to a wide range of simultaneous equations, including those where substitution might be more challenging.

View

Practice Questions for Solving Simultaneous Equations

This page provides a comprehensive set of practice problems for solving simultaneous equations using both substitution and elimination methods.

The problems range from simple to more complex, allowing students to progressively build their skills and confidence in solving simultaneous equations.

Example: 2x + 3y = 16 x + 3y = 13

Solution: Subtract the second equation from the first: x = 3 Substitute x = 3 into either original equation: 3 + 3y = 13 3y = 10 y = 10/3

The page includes a variety of question types, including those with fractional coefficients and negative numbers, providing a comprehensive practice set for students to master 4 methods of solving simultaneous equations.

Highlight: Regular practice with a diverse set of problems is key to mastering simultaneous equations. This page offers an excellent resource for students to hone their skills and prepare for exams.

View

Solving Simultaneous Equations Using Substitution

This page focuses on solving simultaneous equations by substitution, providing a detailed example and exercise.

The substitution method involves expressing one variable in terms of the other and then substituting this expression into the second equation. This technique is particularly useful when one equation already has a variable isolated.

Example: y = 5x - 4 y = 3x + 12

Step 1: Equate the two expressions for y 5x - 4 = 3x + 12

Step 2: Solve for x 2x = 16 x = 8

Step 3: Substitute x value to find y y = 5(8) - 4 = 36

The page also includes an exercise for students to practice the substitution method, emphasizing the importance of carefully following each step and checking the final solution.

Highlight: When using the substitution method, it's crucial to identify which equation has a variable already isolated or can be easily rearranged to isolate a variable.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

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Download in

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Knowunity is the #1 education app in five European countries

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15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

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iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

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Subjects

Maths

Algebra

Expressions & formulae

Easy Ways to Solve Simultaneous Equations: Fun Worksheets and Answers

👤

@sklwork

73 Followers

Key points:

Covers substitution and elimination methods for solving simultaneous equations
Provides detailed examples with step-by-step solutions
Includes practice questions with answers
Offers tips and strategies for solving different types of simultaneous equations

17/09/2023

188

9/10

Maths

Simultaneous Equations Classwork

This page presents a solving simultaneous equations classwork step by step worksheet with multiple problems and their detailed solutions using the elimination method.

The elimination method involves adding or subtracting equations to eliminate one variable, allowing for the solution of the remaining variable. The page outlines a step-by-step approach:

Underline the matching equation parts
Add when signs are different, subtract when signs are the same
Find the value of the non-underlined letter
Substitute the value into one of the original equations
Multiply numbers if necessary
Subtract whole numbers
Divide by the coefficient of the underlined variable

Example: 4g + 7h = 41 2g + 7h = 31

Step 1: Underline matching parts (7h) Step 2: Subtract equations (signs are the same) Step 3: 2g = 10 Step 4: g = 5 Step 5-7: Substitute g = 5 into original equation to find h

The worksheet provides multiple problems for students to practice and reinforce their understanding of the elimination method.

Highlight: The elimination method is particularly effective when both equations have the same coefficient for one of the variables, making it easy to eliminate that variable by subtraction.

Solving Simultaneous Equations Using the Elimination Method

This page delves deeper into the elimination method for simultaneous equations, providing more complex examples and a step-by-step guide.

The elimination method is presented as a five-step process:

Label equations and rearrange to the correct form
Ensure the same number of x's or y's in both equations
Eliminate one variable (x or y)
Solve the resulting equation for the remaining variable
Substitute the found value to determine the other variable

Example: 7x + 2y = 23 3x + 2y = 11

Step 1: Equations are already in the correct form Step 2: Multiply the second equation by -1 to get -3x - 2y = -11 Step 3: Add the equations to eliminate y 4x = 12 Step 4: Solve for x: x = 3 Step 5: Substitute x = 3 into one of the original equations to find y

The page includes several examples of increasing complexity, demonstrating how to handle equations with different coefficients and when multiplication is necessary before elimination.

Highlight: The elimination method is versatile and can be applied to a wide range of simultaneous equations, including those where substitution might be more challenging.

Practice Questions for Solving Simultaneous Equations

This page provides a comprehensive set of practice problems for solving simultaneous equations using both substitution and elimination methods.

The problems range from simple to more complex, allowing students to progressively build their skills and confidence in solving simultaneous equations.

Example: 2x + 3y = 16 x + 3y = 13

Solution: Subtract the second equation from the first: x = 3 Substitute x = 3 into either original equation: 3 + 3y = 13 3y = 10 y = 10/3

Highlight: Regular practice with a diverse set of problems is key to mastering simultaneous equations. This page offers an excellent resource for students to hone their skills and prepare for exams.

Solving Simultaneous Equations Using Substitution

This page focuses on solving simultaneous equations by substitution, providing a detailed example and exercise.

Example: y = 5x - 4 y = 3x + 12

Step 1: Equate the two expressions for y 5x - 4 = 3x + 12

Step 2: Solve for x 2x = 16 x = 8

Step 3: Substitute x value to find y y = 5(8) - 4 = 36

The page also includes an exercise for students to practice the substitution method, emphasizing the importance of carefully following each step and checking the final solution.

Highlight: When using the substitution method, it's crucial to identify which equation has a variable already isolated or can be easily rearranged to isolate a variable.

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

Easy Ways to Solve Simultaneous Equations: Fun Worksheets and Answers

Simultaneous Equations Classwork

Solving Simultaneous Equations Using the Elimination Method

Practice Questions for Solving Simultaneous Equations

Solving Simultaneous Equations Using Substitution

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Easy Ways to Solve Simultaneous Equations: Fun Worksheets and Answers

Simultaneous Equations Classwork

Solving Simultaneous Equations Using the Elimination Method

Practice Questions for Solving Simultaneous Equations

Solving Simultaneous Equations Using Substitution

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.