Solve for x and y- 2x-3-y-9-3x-7-y-2-y-0-

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Elimination Method of Finding Solution of a Pair of Linear Equations

Solve for x a...

Question

Solve for x and y:

$2 x - \frac{3}{y} = 9, 3 x + \frac{7}{y} = 2 (y \neq 0) .$

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Solution

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x

y

\frac{2}{x + 2 y} + \frac{1}{2 x - y} + \frac{5}{9} = 0

\frac{9}{x + 2 y} + \frac{6}{2 x - y} + 4 = 0

2 x - \frac{3}{y} = 9, 3 x + \frac{7}{y} = 2

k

x = k y + 5

x \neq 0, y \neq 0 :

\frac{1}{2 (x + 2 y)} + \frac{5}{3 (3 x - 2 y)} = \frac{- 3}{2} \frac{5}{4 (x + 2 y)} - \frac{3}{5 (3 x - 2 y)} = \frac{61}{60}

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2 x + y = 7

x^{2} y^{2} - 2 x + y^{2} = 0, 2 x^{2} - 4 x + 3 + y^{3} = 0

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