Equation 1) 5x - 9y = -43
Equation 2) 3x + 8y = 68
Multiply equation 1 by 3, and equation 2 by 5.
1) 3(5x - 9y = -43)
2) 5 (3x + 8y = 68)
Simplify.
1) 15x - 27y = -129
2) 15x + 40y = 340
Subtract equations from each other.
-67y = -469
Divide both sides by -67
y = 7
Plug in (7) for y in equation 1
5x - 9y = -43
5x - 9(7) = -43
Simplify.
5x - 63 = -43
Add 63 to both sides.
5x = 20
Divide both sides by 5.
x = 4
(4, 7)
~Hope I helped!~