I want to address this comment:
"I said it cannot be solved because you are eliminating both x and y from the equation"
You need to make sure you understand this. Eliminating both x and y is not what makes it no solution. It's because it's an untrue statement.
You come down to 0 = -3, which is an incorrect statement. i.e. it's jibberish :-) Therefore there's no solution.
But what if it was 0 = 0? That's a true statement, but x and y have still been eliminated. This does have a solution, which is basically the entire line, i.e. any point in one also solves the other.
So "eliminating x and y" does not automatically mean no solution.