Question

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

7x−4y=30
7
𝑥
−
4
𝑦
=
30
(1 point)
Responses

(2, −2)
(
2
,

−
2
)
left parenthesis 2 comma negative 2 right parenthesis

(2, −4)
(
2
,

−
4
)
left parenthesis 2 comma negative 4 right parenthesis

(12, 12)
(
1
2
,

1
2
)
left parenthesis start fraction 1 over 2 end fraction comma start fraction 1 over 2 end fraction right parenthesis

(−2, 8)

Answer 1

Solve 3x + y = 2 for y: y = 2 − 3x. Substitute into 7x − 4y = 30:

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

Then y = 2 − 3(2) = −4.

Solution: (2, −4).