Answer
$$x=\frac{3}{2},\:y=\frac{5}{2}$$
Work Step by Step
Solving the system of equations using Matrices, we find:
$$ \begin{bmatrix}6&-2&¦&4\\ 7&1&¦&13\end{bmatrix}\\ \begin{bmatrix}1&0&¦&\frac{3}{2}\\ 0&1&¦&\frac{5}{2}\end{bmatrix}\\ x=\frac{3}{2},\:y=\frac{5}{2}$$