Solve the system analytically. If the equations are dependent, write the solution set in terms of the variable \( z \)
\[
\begin{array}{l}
3 x+5 y-z=7 \\
x+y+2 z=6
\end{array}
\]
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
A. There is one solution. The solution set is \( \{(\square, \square)\} \).
(Simplify your answers.)
B. The system has infinitely many solutions. The solution set is \( \{\square, z)\} \), where \( \mathrm{z} \) is any real number.
(Simplify your answers. Use integers or fractions for any numbers in the expressions.)
C. The solution set is \( \varnothing \).
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