Question

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

Answer 1

To solve this system of equations, we can use the method of elimination.

First, let's rewrite the equations in standard form:

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

Now, we can subtract equation 1 from equation 2 to eliminate the variable y:

(9x - 3y) - (6x - 3y) = -18 - (-6)
9x - 3y - 6x + 3y = -18 + 6
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 equation 1:

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.