Solving Systems of Equations Using Elimination

Find the determinant

Graph the equations

Ensure equations are in standard form

Convert to slope-intercept form

They cancel each other out

They are multiplied

They are added together

They are divided

Check the solution with a calculator

Graph the solution

Substitute x back into one of the original equations

Solve for z

To find the slope

To make the equations longer

To simplify the equations

To create terms that cancel out

To find the greatest common divisor

To determine the order of operations

To create canceling terms

To solve for y directly

y equals 0

x equals 0

x equals -2 and y equals -4

x and y terms cancel out

(10, -1)

(5, 5)

(-2, -4)

(0, 0)

Graph the solution

Verify the solution by substituting back into the original equations

Ignore the solution

Multiply the solution by 2

Check the solution with a calculator

Substitute y back into one of the original equations

Graph the solution

Solve for z

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