The system of equations has infinitely many solutions
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-3x + 3y = 12 ------- eqn 1
y = x + 4 --------- eqn 2
We have to find the solution to the system of equations
We can use substitution method
Substitute eqn 2 in eqn 1
-3x + 3(x + 4) = 12
-3x + 3x + 12 = 12
-3x + 12 = -3x + 12
If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions
Thus the system of equations has infinitely many solutions