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Math·Algebra·Systems of two linear equations in two variables

hard

$$\begin{gathered} mx+ky=-83 \\ 2x+ky=22 \end{gathered}$$

In the given system of equations, $m$ and $k$ are constants. The graphs of these equations in the $xy$-plane intersect at the point $(5,y)$. What is the value of $m$?

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