Using the method of linear combinations:
-3x + 3y = 4 ---> -3x + 3y = 4
-x + y = 3 ---> multiply by -3 ---> 3x - 3y = -9
Add down the columns: 0 + 0 = -5 ---> 0 = -5
This is impossible to solve.
If you were to graph these two equations, you would get a pair of parallel lines. Since the solution to a pair of equations occurs where the two lines cross and since parallel lines don't cross, there is no solution.
Using the method of linear combinations:
-3x + 3y = 4 ---> -3x + 3y = 4
-x + y = 3 ---> multiply by -3 ---> 3x - 3y = -9
Add down the columns: 0 + 0 = -5 ---> 0 = -5
This is impossible to solve.
If you were to graph these two equations, you would get a pair of parallel lines. Since the solution to a pair of equations occurs where the two lines cross and since parallel lines don't cross, there is no solution.