Question

Solve the system of equations.
2x+6y=−18
2
𝑥
+
6
𝑦
=
−
18

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

(5.25, 1.25)
(
5.25
,

1.25
)
left parenthesis 5.25 comma 1.25 right parenthesis

(−6, −1)
(
−
6
,

−
1
)
left parenthesis negative 6 comma negative 1 right parenthesis

(4, 1)
(
4
,

1
)
left parenthesis 4 comma 1 right parenthesis

(−7.25, −1.25)

Answer 1

Solution: substitute x = 5y − 1 into 2x + 6y = −18:

2(5y − 1) + 6y = −18
10y − 2 + 6y = −18
16y = −16 → y = −1

Then x = 5(−1) − 1 = −6.

Answer: (−6, −1)