Solve the given equations $3 x - 4 y = 10$ and $5 x - 3 y = 24$

y = 6, x = 2

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y = 2, x = 6

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y = - 2, x = 6

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y = - 6, x = 2

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Solution

The correct option is D $y = 2, x = 6$
$3 x - 4 y = 10 => 3 x = 10 + 4 y => x = \frac{10 + 4 y}{3} 5 x - 3 y = 24 => 5 (\frac{10 + 4 y}{3}) - 3 y = 24 => 50 + 20 y - 9 y = 72 => 11 y = 22 => y = 2 x = \frac{10 + 4 \times 2}{3} = 6$
$y = 2$ and $x = 6$

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