System of linear equations

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A linear system in three variables determines a collection of planes. The intersection point is the solution.

Mathematics me, ek system of linear equations (nai to linear system) ek linear equation equation ke collection hae, jisme same set of variables rahe hae. Jaise ki,

\begin{alignat}{7}
3x &&\; + \;&& 2y             &&\; - \;&& z  &&\; = \;&& 1 & \\
2x &&\; - \;&& 2y             &&\; + \;&& 4z &&\; = \;&& -2 & \\
-x &&\; + \;&& \tfrac{1}{2} y &&\; - \;&& z  &&\; = \;&& 0 &
\end{alignat}

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