solve they system equation

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

1 answer

To solve this system of equations, we can subtract the second equation from the first equation to eliminate y:

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

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

Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:

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.