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Solve the system of equations

6X plus 2Y equals -18
3X plus Y equals 24

1 answer

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

Let's solve this system using substitution.

First, we will solve the second equation for Y in terms of X:

3X + Y = 24
Y = 24 - 3X

Next, 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, indicating that there is no solution to this system of equations. The two equations are inconsistent and do not have a common solution.