Question

Solve the system of equations.
−4x+6y=38
−
4
𝑥
+
6
𝑦
=
38

x−5y=−20
𝑥
−
5
𝑦
=
−
20
(1 point)
Responses

(35, −3)
(
35
,

−
3
)
left parenthesis 35 comma negative 3 right parenthesis

(−5, 3)
(
−
5
,

3
)
left parenthesis negative 5 comma 3 right parenthesis

(−35, −3)
(
−
35
,

−
3
)
left parenthesis negative 35 comma negative 3 right parenthesis

(5, 3)

Answer 1

Solve x − 5y = −20 for x: x = −20 + 5y. Substitute into −4x + 6y = 38:

−4(−20 + 5y) + 6y = 38
80 − 20y + 6y = 38
−14y = −42 ⇒ y = 3

Then x = −20 + 5(3) = −5.

Solution: (−5, 3).