Answer
infinite number of solutions
Work Step by Step
Write the first equation as a solution for x:
-x + 2y = 3
2y - 3 = x
Insert the equation for x in terms of y in the second equation:
3(2y - 3) - 6y = -9
6y - 9 - 6y = -9
-9 = -9
The statement is always true, so there is an infinite number of solutions.