Question

Solve the system of equations.

2x+6y=−18
x=5y−1 (1 point)
Responses

(5.25, 1.25)
left parenthesis 5.25 comma 1.25 right parenthesis

(4, 1)
left parenthesis 4 comma 1 right parenthesis

(−7.25, −1.25)
left parenthesis negative 7.25 comma negative 1.25 right parenthesis

(−6, −1)

step by step explanation

Answer 1

[AI-generated answer — Bot GPT 3.5]

1. Start with the second equation x = 5y -1 and substitute into the first equation:

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

2. Substitute the value of y back into the second equation to find x:

x = 5(-1) - 1
x = -5 - 1
x = -6

3. The solution to the system of equations is (-6, -1).

Therefore, the correct answer is:
(-6, -1)