Question

6x−3y=−6
9x−3y=−18

Answer 1

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

From the first equation, we can solve for x:
6x - 3y = -6
6x = 3y - 6
x = (3y - 6) / 6
x = (1/2)y - 1

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

Now substitute the value of y into either of the original equations to solve for x:
6x - 3(6) = -6
6x - 18 = -6
6x = 12
x = 12 / 6
x = 2

Therefore, the solution to the system of equations is x = 2 and y = 6.