Question

find the value of x and y​

Answer 1

x = -a

y= b

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

$to \: find = \\ values \: of \: x \: and \: y \\ \\ so \: here \:given \: equations \: are \\ \\ \frac{3a}{x} - \frac{2b}{y} + 5 = 0 \\ \\ 3a \times \frac{1}{x} - 2b \times \frac{1}{y } = - 5 \\ \\ and \\ \\ \frac{a}{x} + \frac{3b}{y} - 2 = 0 \\ \\ a \times \frac{1}{x} + 3b \times \frac{1}{y} = 2$

$so \: let \: then \\ \\ \frac{1}{x} = m \: ,\: \frac{1}{y} = n \\ \\ resubstituting \: accordingly \\ \\ 3a m - 2bn = - 5 \: \: \: \: \: \: \: (1) \\ \\ am + 3bn = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: (2) \\ \\ applying \: now \\ (2) \times 3 \\ \\ 3am + 9bn = 6 \: \: \: \: \: \: \: \: \: (3) \\ \\ now \: applying \\ (3) - (1) \\ \\ 9bn - ( - 2bn) = 6 - ( - 5) \\ \\ 11bn = 11 \\ \\ bn = 1 \\ \\ n = \frac{1}{b} \\ \\ substitute \: value \: of \: n \: \\ in \: any \: of \: three \: equations \\ \\ we \: have \: then \\ \\ m = \frac{ - 1}{a}$

$so \: accordingly \: \\ \\ \frac{1}{x} = m\: , \: \frac{1}{y} = n \\ \\ \frac{1}{x} = \frac{ - 1}{a} \: , \: \frac{1}{y} = \frac{1}{b} \\ \\ x = - a \: \\ \\ y = b \\ \\ thus \: then \\ (x,y) = ( - a,b)$