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Reducing Equations to Simpler Form

Solve the fol...

Question

Solve the following equation:
$\frac{z}{z + 15} = \frac{4}{9}$

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Solution

Given, $\frac{z}{z + 15} = \frac{4}{9}$
Multiply both sides by $9 (z + 15)$
$9 z = 4 (z + 15)$
$9 z = 4 z + 60$
$5 z = 60$
$z = \frac{60}{5}$
$z = 12$

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Reducing Equations to Simpler Form

Standard VIII Mathematics

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