This system of linear equations have no solution.
Step-by-step explanation:
The given equations are :
x-y = 2 -------(1)
-3x+3y = 6 ------(2)
Divide the eq(2) by 3 :
The eq(2) become -x+y = 2 -----(3)
Solving (1) and (3) :
x-y = 2
-x+y = 2
0
The x and y cannot be solved to get a solution (x,y), since the x term and y term are equal and has opposite sign and only the constant is different.
Therefore, the given system of equation has no solution.