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Linear equations addition

Solve a pair of linear equations with a simple equation addition or subtraction

This math skill involves solving a pair of linear equations by using addition or subtraction. The method includes multiplying one of the equations to match coefficients, aligning the equations, and subtracting to eliminate a variable, resulting in a single-variable equation.

Learn linear equations addition

Teaching Transcript

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Solve for 'Y' in this linear equation by adding or subtracting multiples of the second equation to the first

We have 8 'X' in the first equation, and 4 in the second equation. So let's double the second equation so they match.

Now we have 8 'X' in both equations

So let's subtract the entire second equation from the first. The variables and constants are all lined up, so the subtraction is easy

We have now eliminated 'X' and have a single equation with 'Y'

So we can solve for 'Y' as 5

Skill Practice

Solve a pair of linear equations with a simple equation addition or subtraction

Test your understanding of linear equations addition by practicing it! Work through the below exercises to use it in practice.