Question

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

−2x+4y=30
(1 point)
Responses

(−33,−9)
left parenthesis negative 33 comma negative 9 right parenthesis

(−3, 6)
left parenthesis negative 3 comma 6 right parenthesis

(−21,−6)
left parenthesis negative 21 comma negative 6 right parenthesis

(3, 9)
left parenthesis 3 comma 9 right parenthesis

Answer 1

Multiply the second equation by 2: -4x + 8y = 60.
Add to the first: (4x - 6y) + (-4x + 8y) = -48 + 60 → 2y = 12 → y = 6.
Substitute into 4x - 6(6) = -48 → 4x - 36 = -48 → 4x = -12 → x = -3.

Solution: (−3, 6).