Solve the system of equations.

Question

2x+6y=−18
x=5y−1(1 point)

Answer 1

Substitute x=5y-1 into the first equation to eliminate x:

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

Simplify and solve for y:

10y - 2 + 6y = -18

16y = -16

y = -1

Substitute y=-1 back into x=5y-1 to find x:

x = 5(-1) - 1

x = -6

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