Solve the system of equations.

6x−3y=−6
9x−3y=−18(1 point)

1 answer

To solve the system of equations:

6x - 3y = -6
9x - 3y = -18

We can see that both equations have the same y variable. We can subtract the first equation from the second equation to eliminate y:

9x - 3y - (6x - 3y) = -18 - (-6)
9x - 3y - 6x + 3y = -18 + 6
3x = -12
x = -4

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

6(-4) - 3y = -6
-24 - 3y = -6
-3y = -6 + 24
-3y = 18
y = -6

Therefore, the solution to the system of equations is x = -4 and y = -6.