Question

Solve the system.
−5x+4y=48

−5x−8y=24
(1 point)
Responses

(24,−18)
left parenthesis 24 comma negative 18 right parenthesis

(−24,−18)
left parenthesis negative 24 comma negative 18 right parenthesis

(−8, 2)
left parenthesis negative 8 comma 2 right parenthesis

(8, 2)

Answer 1

Solve by eliminating x: subtract the second equation from the first:
(-5x+4y) - (-5x-8y) = 48 - 24 ⇒ 12y = 24 ⇒ y = 2.
Substitute into -5x + 4(2) = 48 ⇒ -5x + 8 = 48 ⇒ -5x = 40 ⇒ x = -8.

Solution: (-8, 2).