Solve: $3 x - 4 y = - 7$ ; $5 x - 2 y = 0$

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Solution

$3 x - 4 y = - 7 . . . (1)$

$5 x - 2 y = 0 . . . (2)$

$5 x = 2 y$

$x = \frac{2 y}{5}$

$3 (\frac{2 y}{5}) - 4 y = - 7$ $(B y s u b s t i t u t i n g x = \frac{2 y}{5} i n e q u a t i o n . . . (1))$

$\frac{6 y}{5} - 4 y = - 7$

$\frac{- 14}{5} y = - y$

$y = 7 \times \frac{5}{14} = \frac{5}{2}$

$5 x - 2 \times \frac{5}{2} = 0$ $(B y s u b s t i t u t i n g y = \frac{5}{2} i n e q u a t i o n . . . (2))$

$5 x - 5 = 0$

$5 x = 5$

$x = 1$

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