Solve by the method of your choice. \[ \begin{array}{r} 7 x-4 y=4 \\ 4 x+y=22 \end{array} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an ordered pair.) B. There are infinitely many solutions. The solution set is $\{(x, y) \mid 7 x-4 y=4\}$ or $\{(x, y) \mid 4 x+y=22\}$. C. The solution set is $\varnothing$.

Step 1 ：The given system of equations is a linear system of equations. We can solve it using substitution or elimination method. I will use the elimination method.

Step 2 ：First, I will multiply the second equation by 4 and the first equation by 1 to make the coefficients of y in both equations the same.

Step 3 ：Then, I will subtract the second equation from the first to eliminate y and solve for x.

Step 4 ：After finding the value of x, I will substitute it into the second equation to find the value of y.

Step 5 ：Final Answer: The solution set is \(\boxed{(4, 6)}\).