Find the value of $x$ and $y$
$8 x + 5 y = 9$
$3 x + 2 y = 4$

x = 5, y = - 2

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x = - 2, y = 5

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x = - 5, y = 2

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None of these

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Solution

The correct option is B $x = - 2, y = 5$
$x = - 2, y = 5$
$8 x + 5 y = 9$
By multiplying the above equation by 3, we have
$24 x + 15 y = 27 ⟶ (1)$
$3 x + 2 y = 4$
Again by multiplying the above equation by 8, we have
$24 x + 16 y = 32 ⟶ (2)$
Subtracting ${e q}^{n} (1)$ by $(2)$ , we have
$24 x + 16 y - (24 x + 15 y) = 32 - 27$
$\Rightarrow 24 x + 16 y - 24 x - 15 y = 5$
$\Rightarrow y = 5$
Substituting the value of y in ${e q}^{n} (2)$ , we have
$3 x + 2 \times 5 = 4$
$\Rightarrow 3 x = - 6$
$\Rightarrow x = - 2$
$∴ x = - 2, y = 5$

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