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If $217x + 131y = 913$ and
$131x + 217y = 827$,
then solve the equations for the values of $x$ and $y$.
$131x + 217y = 827$,
then solve the equations for the values of $x$ and $y$.
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$217 x + 131 y = 913$
$131 x + 217 y = 827$
Adding $348 (x + y) = 1740$
$x + y = 5$
Subtracting, $86 (x - y) = 86$
$x-y=1$
$\Rightarrow x = 3, y = 2$
$131 x + 217 y = 827$
Adding $348 (x + y) = 1740$
$x + y = 5$
Subtracting, $86 (x - y) = 86$
$x-y=1$
$\Rightarrow x = 3, y = 2$