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Elimination Method of Finding Solution of a Pair of Linear Equations

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Question

Solve the following
$2 x - 3 y = 9; 2 x + y = 13$

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Solution

$2 x - 3 y = 9$
$2 x + y = 13$

subtracting , we get
$y + 3 y = 10 - 9$
$4 y = 4$
$\Rightarrow y = 1$

$2 x - 3 y = 9$
$2 x = 9 + 3 = 12$
$x = 6$

$∴ x = 6, y = 1$

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