Solve the following question :

$5 (8 x + 3) = 9 (4 x + 7)$

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Solution

$5 (8 x + 3) = 9 (4 x + 7) \Rightarrow 40 x + 15 = 36 x + 63 \Rightarrow 40 x - 36 x = 63 - 15 \Rightarrow 4 x = 48 \Rightarrow x = \frac{48}{4} \Rightarrow x = 12$

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5 (8 x + 3) = 9 (4 x + 7)

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\frac{7 x - 2 y}{x y} = 5 \frac{8 x + 7 y}{x y} = 15

Solve the following systems of equations:

$\frac{7 x - 2 y}{x y} = 5$

$\frac{8 x + 7 y}{x y} = 15$

9^{4 x} \div 3^{2 x} = 2187

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