Question

Solve the system of two equations using elimination with multiplication.
4x−6y=−48

−2x+4y=30
(1 point)
Responses

(3, 9)

left parenthesis 3 comma 9 right parenthesis

(−21,−6)

left parenthesis negative 21 comma negative 6 right parenthesis

(−33,−9)

left parenthesis negative 33 comma negative 9 right parenthesis

(−3, 6)

Answer 1

Multiply the second equation by 2: -4x + 8y = 60.
Add this to the first equation 4x − 6y = −48 to eliminate x:
(4x − 6y) + (−4x + 8y) = 2y = 12 → y = 6.

Substitute y = 6 into −2x + 4y = 30:
−2x + 24 = 30 → −2x = 6 → x = −3.

Solution: (−3, 6).