Systems of Equations Practice Test

What is the $x$-value of the solution to the system: $3x + y = 14$ and $x - y = 2$?

A taxi charges a $\$3$ flat fee plus $$2$ per mile. Another taxi charges a $\$1$ flat fee plus $$3$ per mile. For what number of miles $x$ do the two taxis cost the same (in dollars)?

$$\begin{cases}

y = 2x + 3\

y = 3x + 1

\end{cases}$$