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)
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
1 answer