Question

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

x=5y−1
(1 point)
Responses

(4, 1)

left parenthesis 4 comma 1 right parenthesis

(−6, −1)

left parenthesis negative 6 comma negative 1 right parenthesis

(−7.25, −1.25)

left parenthesis negative 7.25 comma negative 1.25 right parenthesis

(5.25, 1.25)

Answer 1

Solve by substitution: x = 5y − 1. Substitute into 2x + 6y = −18:

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

Then x = 5(−1) − 1 = −6.

Solution: (−6, −1).