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.
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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