Question

Solve the system of equations.
2x+6y=−18x=5y−1(1 point)Responses(−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(4, 1)left parenthesis 4 comma 1 right parenthesis(5.25, 1.25)

Answer 1

To solve this system of equations, we can use the substitution method.

First, we can rewrite the second equation in terms of x:
x = 5y - 1

Now we can substitute this expression for x into the first equation:
2(5y - 1) + 6y = -18
10y - 2 + 6y = -18
16y - 2 = -18
16y = -16
y = -1

Now that we have solved for y, we can substitute this value back into the second equation to find x:
x = 5(-1) - 1
x = -5 - 1
x = -6

Therefore, the solution to the system of equations is (-6, -1). So the correct response is (−6, −1).