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Easy Steps to Solve Linear Equations

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Sienna

03/11/2022

Maths

linear equations

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Maths

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Systems of Equations

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Solving Systems of Equations with Substitution

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Systems of Equations with Substitution: -3x-4y=-2 & Y=2x-5

Easy Steps to Solve Linear Equations

Solving Linear Equations - A comprehensive guide to mastering equation-solving techniques through systematic steps and practical examples.

  • Learn how to solve linear equations step by step by isolating variables and performing balanced operations
  • Master techniques for solving equations with variables on both sides using systematic elimination
  • Understand methods for solving linear equations with fractions through multiplication and simplification
  • Practice solving equations involving brackets through proper expansion techniques
  • Apply the principle of performing identical operations on both sides to maintain equation balance
...

03/11/2022

174

Linear equations To solve linear equations you need. letter on its own on one side Each line of working should have an equals sign (+2x) 2 (

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Page 2: Advanced Equation Solving Strategies

This page delves into more complex equation-solving scenarios, particularly focusing on equations with fractions and multiple terms.

Example: For equation 7r + 2 = 5(1-4):

  1. Expand brackets: 7r + 2 = 5 - 20
  2. Combine like terms
  3. Isolate variable r

Highlight: When dealing with fractions, multiply all terms by the denominator to eliminate fractions.

Definition: The process of "clearing fractions" involves multiplying all terms by the least common multiple of the denominators.

The page provides detailed examples of solving equations with fractions and demonstrates how to handle equations requiring multiple steps, including those with brackets and terms that need to be collected on one side.

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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.

Ranked #1 Education App

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Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

17 M

Pupils love Knowunity

#1

In education app charts in 17 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

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

Subjects

/

Maths

/

Systems of Equations

/

Solving Systems of Equations with Substitution

/

Systems of Equations with Substitution: -3x-4y=-2 & Y=2x-5

Easy Steps to Solve Linear Equations

user profile picture

Sienna

@smojo27

·

46 Followers

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Solving Linear Equations - A comprehensive guide to mastering equation-solving techniques through systematic steps and practical examples.

  • Learn how to solve linear equations step by step by isolating variables and performing balanced operations
  • Master techniques for solving equations with variables on both sides using systematic elimination
  • Understand methods for solving linear equations with fractions through multiplication and simplification
  • Practice solving equations involving brackets through proper expansion techniques
  • Apply the principle of performing identical operations on both sides to maintain equation balance
...

03/11/2022

174

 

S4

 

Maths

6

Linear equations To solve linear equations you need. letter on its own on one side Each line of working should have an equals sign (+2x) 2 (

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Page 2: Advanced Equation Solving Strategies

This page delves into more complex equation-solving scenarios, particularly focusing on equations with fractions and multiple terms.

Example: For equation 7r + 2 = 5(1-4):

  1. Expand brackets: 7r + 2 = 5 - 20
  2. Combine like terms
  3. Isolate variable r

Highlight: When dealing with fractions, multiply all terms by the denominator to eliminate fractions.

Definition: The process of "clearing fractions" involves multiplying all terms by the least common multiple of the denominators.

The page provides detailed examples of solving equations with fractions and demonstrates how to handle equations requiring multiple steps, including those with brackets and terms that need to be collected on one side.

Linear equations To solve linear equations you need. letter on its own on one side Each line of working should have an equals sign (+2x) 2 (

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Basic Linear Equation Solving Techniques

This page introduces fundamental principles for solving linear equations effectively. The focus is on isolating variables and handling equations with terms on both sides.

Definition: A linear equation is a mathematical statement where two expressions are equal, containing variables of degree one.

Highlight: Always perform operations on both sides of the equation to maintain balance.

Example: In solving 3x + 10 = 16:

  1. Subtract 10 from both sides: 3x = 6
  2. Divide both sides by 3: x = 2

Vocabulary: Brackets (parentheses) in equations indicate operations that must be performed first.

The page emphasizes the importance of writing each step with an equals sign and demonstrates various equation types, including those with variables on both sides and those involving brackets.

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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.

Ranked #1 Education App

Download in

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Download in

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Knowunity is the #1 education app in five European countries

4.9+

Average app rating

17 M

Pupils love Knowunity

#1

In education app charts in 17 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

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