D) infinitely many solutions
Two system of equations have infinitely many solutions if they are coincident.
That is the ratio must be equal
[tex]\frac{a_1}{a_2} =\frac{b_1}{b_2}=\frac{c_1}{c_2}[/tex]
So, we have y=x+2
x - y = -2...(1)
and -3x+3y=6...(2)
Here the ratio is
[tex]\frac{1}{-3} =\frac{1}{-3} =\frac{-2}{6} \\-\frac{1}{3} =-\frac{1}{3}=-\frac{1}{3}[/tex]
The ratio is same .
Therefore the equations have infinitely many solutions.
The correct option is (D).
Learn more:https://brainly.com/question/11713536
