Answer:
There are infinitely many solutions ⇒ D
Explanation:
- If the two lines coincided which mean they represented by the same line (two lines over each other), then they have an infinite number of solutions
- The simplest form of their equations are equal
Let us check our question
∵ The equations of the system are y = x + 2 and -3x + 3y = 6
→ Simplify the 2nd equation
∵ -3x + 3y = 6 → Divide both sides by 3
∴ -x + y = 2
→ Add x to both sides
∵ -x + x + y = 2 + x
∴ y = x + 2
∵ The simplest forms of the equations equal
∵ They are represented graphically by two lines over each other
∴ The system of equations has an infinite number of solutions
∴ There are infinitely many solutions.