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in Linear Equations by (50.7k points)
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Solve the following systems of equations:

\(\frac{2}{x}\)+\(\frac{3}{y}\) = 13

\(\frac{5}{x}\) - \(\frac{4}{y}\) = - 2

1 Answer

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 \(\frac{2}{x}\)+\(\frac{3}{y}\) = 13

\(\frac{5}{x}\) - \(\frac{4}{y}\) = - 2

Multiplying eq1 by 4 and eq2 by 3 and adding

⇒ 23/x = 46

⇒ x = 1/2

Thus,

4 + 3/y = 13

⇒ y = 1/3

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