Question

Solve using elimination.

–9x − 5y = –5
–4x − 2y = –4

Answer 1

Solve the system
-9x - 5y = -5
-4x - 2y = -4

Multiply the first equation by 2 and the second by 5 to eliminate y:
(-9x - 5y)*2 → -18x - 10y = -10
(-4x - 2y)*5 → -20x - 10y = -20

Subtract the first new equation from the second:
(-20x - 10y) - (-18x - 10y) = -20 - (-10)
-2x = -10 → x = 5

Substitute x = 5 into -4x - 2y = -4:
-20 - 2y = -4 → -2y = 16 → y = -8

Solution: (x, y) = (5, -8).