Solve the system. y=-x+3 2x+2y=4 (2,3) (2,2) (3,2) (-1,2) (3,-2) (2,2) (-3,2) No solution (3,3) Infinitely many solutions Explain your choice of method.

To solve the system of equations, we can use the substitution method. Step 1: Solve the first equation for y in terms of x. Step 2: Substitute the expression for y into the second equation. Step 3: Simplify the equation. Since this equation is not true, there is no solution to the system of equations. Therefore, the correct answer is "No solution."