Solving Equations Using Substitution Quick Check

Question

2 of 52 of 5 Items

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

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

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

(−6, −1)

Answer 1

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

Substitute x=5y-1 into the first equation:
2(5y-1)+6y=-18
10y-2+6y=-18
16y-2=-18
16y=-16
y = -1

Now substitute y=-1 into the second equation to find x:
x=5(-1)-1
x = -6

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