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Cross-Multiplication Method of Finding Solution of a Pair of Linear Equations

Solve 3 x -...

Question

Solve $3 x - 5 y = - 2 5 x - y = 4$

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Solution

$3 x - 5 y = - 2 \dots (1) 5 x - y = 4 y = 5 x - 4 3 x - 5 (5 x - 4) = - 2 3 x - 25 x + 20 = - 2 - 22 x = - 22 x = 1 y = 5 (1) - 4 y = 5 - 4 y = 1 x = 1; y = 1$

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