Question

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

Answer 1

Are you sure?

Answer 2

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

First, let's solve the first equation for x:
6x - 3y = -6
6x = 3y - 6
x = (3y - 6)/6
x = y/2 - 1

Now substitute this expression for x into the second equation:
9x - 3y = -18
9(y/2 - 1) - 3y = -18
(9y - 18)/2 - 3y = -18
9y - 18 - 6y = -36
(9y - 6y) - 18 = -36
3y - 18 = -36
3y = -36 + 18
3y = -18
y = -18/3
y = -6

Now substitute this value of y back into the first equation to solve for x:
6x - 3(-6) = -6
6x + 18 = -6
6x = -6 - 18
6x = -24
x = -24/6
x = -4

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

Answer 3

Yes, I am sure. I have correctly solved the system of equations and found that x = -4 and y = -6.