本题目来源于试卷: Systems of Equations，类别为 IB数学
[问答题]
The system of equations given below z7;o(c7ya7 lvcuol/d represe ,imd8b/dr04tsa 0m qents three planes in space.
$\begin{aligned}
x-3 y+2 z & =5 \\
3 x+5 y+a z & =b \quad \text { [where } a, b \in \mathbb{R}] \\
4 x+2 y-3 z & =7
\end{aligned}$
Find the set of values of a and b such that the three planes have exactly one intersection point.
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