Answer:
to solve a system of linear equations by elimination, we need to eliminate one of the variables, for example, we could add the two equations together to eliminate the variable y. However, we need to make sure that the coefficients of the two equations are the same before we can add them together. We can do this by multiplying the first equation by -1.5 and the second equation by 1.5. This gives us the following system of equations:
-2.25x - 13.5y = -31.5
2.25x - 4.5y = 13.5
We can now add these two equations together to eliminate the variable y, which gives us the following equation:
0 = -18
This equation is not possible, so the system of equations does not have a solution.