Question

Solve:z/(z+15) = 4/9

please please give me explanation​

Answer 1

z/(z + 15) = 4/9 On multiplying both sides by 9(z + 15), we obtain 9z = 4(z + 15) ⇒ 9z = 4z + 60 ⇒ 9z − 4z = 60 ⇒ 5z = 60 ⇒ z = 12

Answer 2

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$\dfrac{z}{z + 15} = \frac{4}{9}$

$9z = 4(z + 15)$

$9z = 4z + 60$

$9z - 4z = 60$

$5z = 60$

$z = \dfrac{\cancel 6 \cancel0}{\cancel 4}$

$z = 12$

$verification:-$

$LHS = \dfrac{z}{z + 15}$

$= \dfrac{12}{12 + 15}$

$= \dfrac{\cancel 12}{\cancel 27}$

$= \dfrac{4}{9}$

$= RHS$

$\therefore LHS = RHS$

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