Solve the system of equation

2x+6y=-18
X=5y-1

1 answer

Starting with the second equation, x = 5y - 1, we can substitute this value of x into the first equation to solve for y:

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

Now that we have found the value of y, we can substitute it back into the second equation to solve for x:

x = 5(-1) - 1
x = -5 - 1
x = -6

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