The system of equations
\[
\begin{array}{l}
x+2 y+z=4 \\
x-y+2 z=3 \\
2 x+y+P_{1 z}=P_{2} \text ...
The system of equations
\[
\begin{array}{l}
x+2 y+z=4 \\
x-y+2 z=3 \\
2 x+y+P_{1 z}=P_{2} \text { has }
\end{array}
\]
(A) No solution if \( P_{1} \neq 3, P_{2} \neq 7 \)
(B) Infinite solutions if \( P_{1}=3, P_{2} \neq 7 \)
(C) Infinite solutions if \( P_{1}=3, P_{2}=7 \)
(D) Unique solution if \( P_{1}=3 \)
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