Solve the System of Equations: -2x + 3y = 14 and -4x + 6y = 28

To solve this system of equations, follow these steps:

• Step 1: Simplify the second equation:
  The second equation is $-4x + 6y = 28$. By dividing every term by 2, we get:
  $-2x + 3y = 14$.
• Step 2: Compare the simplified second equation to the first equation:
  Both equations are now $-2x + 3y = 14$.

Since both equations are identical after simplification, this indicates that the system represents the same line.

Therefore, the system has infinite solutions because any point that satisfies one equation will satisfy the other.

Thus, the correct answer is Infinite solutions.