Question

Solve using elimination.

–8x + 3y = 11
x + y = –11

Answer 1

Use elimination. Multiply the second equation by 8 to eliminate x:

8(x + y) = 8(−11) → 8x + 8y = −88

Add this to the first equation:
(−8x + 3y) + (8x + 8y) = 11 + (−88)
11y = −77
y = −7

Substitute into x + y = −11:
x + (−7) = −11 → x = −4

Solution: x = −4, y = −7 (ordered pair (−4, −7)).