To solve this system of equations, we can use the method of substitution.
Let's solve the second equation for y:
3x + y = 24
y = 24 - 3x
Now substitute this value of y into the first equation:
6x + 2y = -18
6x + 2(24 - 3x) = -18
6x + 48 - 6x = -18
48 = -18
This equation is incorrect since there are no variables left. This means that the system of equations is inconsistent, and there is no solution.
6x + 2 y = -18
3x + y = 24
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