Question

Solve 3x-5y=19 3y-3x=-1 by elimination method

Answer 1

$Given \: pair \: of \: equations :$

$3x - 5y = 19 \: ---(1)$

$and \: -3x + 3y = -1 \: ---(2)$

/* Add Equations (1) and (2) , we get */

$\implies -2y = 18$

$\implies y = \frac{18}{-2}$

$\implies y = -9$

/* Put y = -9 in equation (1) ,we get */

$3x - 5(-9) = 19$

$\implies 3x + 45 = 19$

$\implies 3x = 19 - 45$

$\implies 3x = - 26$

$\implies x = \frac{-26}{3}$

Therefore.,

$\green { x = \frac{-26}{3} \:and \: y = -9 }$

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