y=x+2
-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?
no solution
one solution
two solutions
infinitely many solutions

Respuesta :

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.