Solve the system of equations.

Question

2x+6y=−18
x=5y−1 (1 point)
Responses

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

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

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

(5.25, 1.25)

Answer 1

To solve the system of equations, we can substitute the value of x from the second equation into the first equation:

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

Now that we have the value of y, we can substitute it back into the second equation to solve for x:

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

Therefore, the solution to the system of equations is (x, y) = (-6, -1).