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Elimination Method of Finding Solution of a Pair of Linear Equations

Solve 2x+3y...

Question

Solve
$2 x + 3 y = 8$
$2 x = 2 + 3 y$

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Solution

$2 x + 3 y = 8$
$2 x + 2 = 3 y$
$2 x + 3 y = 8$
$\Rightarrow 2 x - 3 y = 2$
__________________

$4 x = 10. \Rightarrow x = 5 / 2$
$2.5 / 2 + 3 y = 8$
$\Rightarrow 3 y = 3 \Rightarrow y = 1$
$∴ x = 5 / 2, y = 1$

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