Solve the system of equations 6x+2y=-18 and 3x+y=24

Answer 1

To solve the system of equations 6x + 2y = -18 and 3x + y = 24, we'll use the method of substitution.

First, let's solve one equation for one variable in terms of the other. In this case, we'll solve the second equation for y:

3x + y = 24
=> y = 24 - 3x

Now, we can substitute this expression for y into the first equation:

6x + 2(24 - 3x) = -18
=> 6x + 48 - 6x = -18
=> 48 = -18

Since this simplifies to a false statement, the system of equations is inconsistent. In other words, there is no solution that satisfies both equations simultaneously.