Answer:
(-4, -8)
Explanation:
x - 5y = 36; 2x + y = -16
first, rearrange the first equation by adding 5y to both sides to isolate x
x = 5y + 36
then plug that in for x in the second equation and solve for y:
2(5y +36) + y = -16 distribute 2 to (5y + 36)
10y + 72 + y = -16 combine like terms by adding 10y and y
11y + 72 = -16 subtract 72 from both sides
11y = -88 divide both sides by 11
y = -8
next, plug y in and solve for x
x - 5(-8) = 36
x + 40 = 36 subtract 40 from both sides
x = -4
finally, check the solution by plugging x and y into both equations to see if they equal the expected value
(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓
2(-4) + (-8) = -8 -8 = -16 = -16 ✓