Answer:
x=48/13, y=-68/13
Explanation:
5x+2y=8
x+3y=-12 ==> solve for x
x = -12 - 3y ==> subtract 3y on both side to isolate x
5(-12 - 3y) + 2y = 8 ==> substitute -12 - 3y for x
5*(-12) - 5(3y) + 2y = 8 ==> distribute 5 to -12 and -3y
-60 - 15y + 2y = 8
-60 - 13y = 8 ==> solve for y
-13y = 68 ==> add 60 on both sides
13y = -68
y=-68/13 ==> divide 13 on both sides to isolate y
x + 3(-68/13) = -12 ==> substitute -68/13 for y
x + (-204/13) = -12 ==> solve for x
(x - 204/13 = -12)*13 multiply the equation by 13 to remove fractions
13x - 204 = -156
13x = 204 - 156 ==> add 204 on both sides to isolate x
13x = 48
x = 48/13 ==> divide 13 on both sides to isolate x
Answer: x=48/13, y=-68/13