Answer:
x = 4, y = -2.
Step-by-step explanation:
-3y + 5x = 26
-2y - 5x = -16
Adding these will eliminate x:
-5y + 0 = 10
y = 10/-5 = -2.
Substitute for y in the first equation:
-3(-2) + 5x = 26
5x = 26 - 6
5x = 30
x = 4.
Check to see if these roots are correct in the second equation:
Left side -2(-2) - 5(4) = 4 - 20 = -16, so they are correct.