Question

Solve the system of equations.
3x+y=2

7x−4y=30
(1 point)
Responses

(2, −4)
left parenthesis 2 comma negative 4 right parenthesis

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

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

(1/2, 1/2)

Answer 1

From 3x + y = 2, y = 2 − 3x. Substitute into 7x − 4y = 30:

7x − 4(2 − 3x) = 30
7x − 8 + 12x = 30
19x = 38 → x = 2
y = 2 − 3(2) = −4

Solution: (2, −4).