Answer:
x = 6, y = -2
Explanation:
x-2y = 10
y = -6x +34
Substitute the second equation into the first for y
x - 2(-6x+34) = 10
Distribute
x +12x - 68 = 10
Combine like terms
13x -68 = 10
Add 68 to each side
13x - 68+68 = 10+68
13x = 78
Divide each side by 13
13x/13 = 78/13
x = 6
Now find y
y = -6x+34
y = -6(6)+34
y = -36+34
=-2