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Method of Substitution to Find the Solution of a Pair of Linear Equations

Solve : x+5y...

Question

Solve :
$x + 5 y = 17 2 x + 3 y = 13$

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Solution

$x + 5 y = 17$

$x = 17 - 5 y$

$2 x + 3 y = 13$

$2 (17 - 5 y) + 3 y = 13$

$34 - 10 y + 3 y = 13$

$- 7 y = - 21$

$y = 3$

$x = 17 - 5 (3)$

$x = 17 - 15 = 2$

$x = 2; y = 3$

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