$\left[ {\begin{array}{cccccccccccccccccccc}{2x + y}&{4x}\\{5x - 7}&{4x}\end{array}} \right] = \left[ {\begin{array}{cccccccccccccccccccc}7&{7y - 13}\\y&{x + 6}\end{array}} \right]$, then the value of $x + y$ is
$\left[ {\begin{array}{cccccccccccccccccccc}{2x + y}&{4x}\\{5x - 7}&{4x}\end{array}} \right] = \left[ {\begin{array}{cccccccccccccccccccc}7&{7y - 13}\\y&{x + 6}\end{array}} \right]$, then the value of $x + y$ is
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We have, $4x = x + 6 \Rightarrow x = 2$
and $4x = 7y - 13 \Rightarrow 8 = 7y - 13$
$\Rightarrow$ $7y = 21 \Rightarrow y = 3$
$\therefore$ $x + y = 2 + 3 = 5$
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