5x-1y=-9 -5x+2y=8?

5x-y=-9
5x=y-9
x=(y-9)/5

-5x+2y=8
-5[(y-9)/5]+2y=8
-y+9+2y=8
9+y=8

y=-1

x=(y-9)/5
x=(-1-9)/5
x=(-10)/5

x=-2

ADD
y = - 1

5x + 1 = - 9
5x = - 10
x = - 2

x = - 2 , y = - 1

X=-2
Y=-1

Which variable are you trying to solve for x or y?

(5x - y = -9)
+(-5x + 2y = 8)
-------------------
y = -1

5x - (-1) = -9
5x + 1 = -9
5x = -10
x = -2

(x, y) = (-2, -1)

5x - y = -9 (solve using addition)
-5x + 2y = 8

.....5x - y = -9
+ -5x + 2y = 8
---------------------
y = -1

5x - y = -9
5x - (-1) = -9
5x = -9 - 1
5x = -10
x = -10/5
x = -2

∴ x = -2 , y = -1