The system of equations has infinitely many solutions
Solution:
Given system of equations are:
y = x + 2 ------ eqn 1
-3x + 3y = 6 -------- eqn 2
Solve the system of equations by substitution method
Substitute eqn 1 in eqn 2
-3x + 3(x + 2) = 6
-3x + 3x + 6 = 6
-3x + 3x = 6 - 6
0 = 0
If we end up with the same term on both sides of the equal sign, then we have infinite solutions
Thus the system of equations has infinitely many solutions