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.
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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.
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Solve for 'Y' in this linear equation by adding or subtracting multiples of the second equation to the first
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We have 8 'X' in the first equation, and 4 in the second equation. So let's double the second equation so they match.
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Now we have 8 'X' in both equations
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So let's subtract the entire second equation from the first. The variables and constants are all lined up, so the subtraction is easy
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We have now eliminated 'X' and have a single equation with 'Y'
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So we can solve for 'Y' as 5