Question

Solve the system of equations. 2x+6y=−18 x=5y−1(1 point) Responses (−7.25, −1.25) left parenthesis negative 7.25 comma negative 1.25 right parenthesis (−6, −1) left parenthesis negative 6 comma negative 1 right parenthesis (4, 1) left parenthesis 4 comma 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.

From x = 5y - 1, we can substitute x into 2x + 6y = -18:

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

Now, substitute y back into x = 5y - 1:

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).