6x+2y=−18

3x+y=24

1 answer

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

Let's use the elimination method:

First, let's multiply the second equation by 2 to make the coefficients of y in both equations equal:

6x + 2y = -18
6x + 2y = 48

Now subtract the first equation from the second equation:

6x + 2y - 6x - 2y = 48 - (-18)
0 = 48 + 18
0 = 66

Since 0 does not equal 66, this means that there is no solution to this system of equations. This is because the two equations are parallel and do not intersect at any point.