SOLVING SYSTEMS

Substitution Method

SOLVING BY SUBSTITUTION

2x - y = 3x + 2y = 4

STEP 1:Solve for one variable                 x + 2y =

4Subtract 2y to get x by itself       x = -2y +

4

STEP 2:Now substitute the equation from step

one into the other original equation2(-2y + 4) - y = 3

-4y + 8 - y = 3    -5y + 8 = 3

  -5y = -5y = 1

STEP 3Now that you have solved for y, substitute

it back into one of the original problems to find x.

  2x - 1 = 32x = 2x = 1

ANSWER

*Now your point is (1, 1).