Elimination Method in Systems of Equations

Substituting variables

Lining up like terms

Finding the point of intersection

Graphing the equations

To graph the equations

To find the point of intersection

To eliminate one variable

To simplify the equations

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6

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4

Check the solution

Graph the equations

Substitute x back into one of the original equations

Find the y-intercept

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6

Multiply one or both equations to create opposite coefficients

Graph the equations

Use substitution instead

Find the y-intercept

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The equations have the same slope but different y-intercepts

The equations have different slopes

The equations intersect at one point

The equations are parallel

The equations are identical

The equations have different slopes

The equations are parallel

The equations have the same y-intercept

Find the y-intercept

Check the solution by substituting back

Write the solution as an ordered pair

Graph the solution