本题目来源于试卷: Systems of Equations，类别为 IB数学
[问答题]
The system of equatio, nrt 7(y7iipxnx9.e egwl i234 dzf4dns given belowcn3bmr 0(9xwkk +wkv) represents three planes in space.
$\begin{aligned}
x+2 y-2 z & =4 \\
3 x+5 y-4 z & =9 \quad[\text { where } a, b \in \mathbb{R}] \\
4 x+6 y+a z & =b
\end{aligned}
$
Find the set of values of a and b such that the three planes have no points of intersection.
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