Question

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

9x−3y=−18(1 point)

Answer 1

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

Let's choose to use the method of substitution.

From the first equation, we can isolate y:
6x - 3y = -6
-3y = -6 - 6x
y = 2 + 2x

Now, we substitute this value of y into the second equation:
9x - 3(2 + 2x) = -18
9x - 6 - 6x = -18
3x - 6 = -18
3x = -12
x = -4

Now that we have found the value of x, we can substitute it back into the equation y = 2 + 2x:
y = 2 + 2(-4)
y = 2 - 8
y = -6

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