Solve the system by the substitution method. \[ \begin{array}{r}x-3 y=-2 \\ y=-3 x+14\end{array} \] Select the correct ehoice below and, if necessary, fill in the answer box to complete your choice. B. There are infinitely many solutions. C. There is no solution.

To solve the system by substitution, we start with the second equation, which gives us \( y \) in terms of \( x \): \[ y = -3x + 14. \] Now, we can substitute this expression for \( y \) into the first equation: \[ x - 3(-3x + 14) = -2. \] Simplifying this: \[ x + 9x - 42 = -2, \] \[ 10x - 42 = -2, \] \[ 10x = 40, \] \[ x = 4. \] Now, we substitute \( x = 4 \) back into the equation for \( y \): \[ y = -3(4) + 14 = -12 + 14 = 2. \] So, the solution to the system is \( x = 4 \) and \( y = 2 \). This means the solution is a unique point: \( (4, 2) \). Thus, the correct choice is: A. The solution is \( (4, 2) \).