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 belowuo, 9 nz**iomj represents vh3bhk:k: 6+wm zf6y;6zegdi.h4sv dthree 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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