`3x - 5y = 8, 2x + 5y = 22` Solve the system by the method of substitution.

Monday, April 18, 2016

3x-5y=8 2x+5y=22

Solve second equation for x; first subtract 5y from each side.

2x=-5y+22 Divide by 2

x=-5/2y+11 Then substitute into x into the first equation

3 (-5/2y+11)-5y=8 Simplify

-15/2y +33-5y=8 Combine like terms

-25/2y+ 33=8 -25/2y=-25 Divide each side by -25

1/2y=1 y=2 Therefore 3x-5(2)=8 3x-10=8 3x=18 x=6

x=6, y=2 They check in both equations.

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