Question

Solve the system of equations
6x - 3y = -6
9x - 3y = -18

Answer 1

First, let's rewrite the two equations:

1) 6x - 3y = -6
2) 9x - 3y = -18

Now, we can solve this system of equations using the method of substitution or elimination.

Let's use the method of elimination.

Multiply the first equation by 3 and the second equation by -3 to make the coefficients of y the same:

1) 18x - 9y = -18
2) -27x + 9y = 54

Add the two equations together to eliminate y:

18x - 9y - 27x + 9y = -18 + 54
-9x = 36
x = -4

Now substitute x = -4 into one of the original equations to solve for y.

Using equation 1):

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

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