solve the system of equations: 6x+2y=-18 , 3x+y=24

1 answer

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

From the second equation, we can solve for y:
y = 24 - 3x

Now substitute this expression for y into the first equation:
6x + 2(24-3x) = -18
6x + 48 - 6x = -18
48 = -18

This is not a true statement, so there is no solution to this system of equations. The equations are inconsistent and cannot be satisfied simultaneously.