Solve the following systems of equations:
$2 (3 u - v) = 5 u v$
$2 (u + 3 v) = 5 u v$

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Solution

Equation (1) : $\frac{6}{v} - \frac{2}{u} = 5$

Equation (2) : $\frac{2}{v} + \frac{6}{u} = 5$

Equation (2)×3 : $\frac{6}{v} + \frac{18}{u} = 15$

Subtract two equations ;

$\Rightarrow \frac{20}{u} = 10$

$\Rightarrow u = 2$

Substituting 'u' in either equation, we get ;

$\Rightarrow v = 1$

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Similar questions

2 (3 u - v) = 5 u v; 2 (u + 3 v) = 5 u v

Solve the following systems of equations:

$2 (3 u - v) = 5 u v$

$2 (u + 3 v) = 5 u v$

2 (3 u - v) = 5 u v

2 (u + 3 v) = 5

\neq 0

2 (3 u - v) = 5 u v 2 (u + 3 v) = 5 u v

8 v - 3 u = 5 u v

6 v - 5 u = - 2 u v

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