Question

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

Answer 1

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

1) Rearrange the first equation to solve for x in terms of y:
6x - 3y = -6
6x = 3y - 6
x = (3y - 6)/6
x = (y - 2)/2

2) Substitute this expression for x into the second equation:
9x - 3y = -18
9((y - 2)/2) - 3y = -18
(9y - 18)/2 - 3y = -18
9y - 18 - 6y = -36
3y = -18
y = -6

3) Substitute the value of y back into the expression for x:
x = (y - 2)/2
x = (-6 - 2)/2
x = -8/2
x = -4

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