Solve -2-9Z-17-4Z-4-5

Given: 2 9Z/17 4Z=4/5After cross multiplication, we get;⇒ 5(2 9Z) = 4(17 4Z)0ex0ex⇒ 10 45Z = 68 16Z0ex0ex⇒ 10 68 = 16Z + 45Z0ex0ex⇒ 58 = 29Z0ex0ex⇒ Z= 58/29 ...

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Standard VI

Mathematics

Uses of Ratios and Proportions

Solve :2-9Z/1...

Question

Solve :
$\frac{2 - 9 Z}{17 - 4 Z} = \frac{4}{5}$

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Solution

Given: $\frac{2 - 9 Z}{17 - 4 Z} = \frac{4}{5}$
After cross-multiplication, we get;
$\Rightarrow 5 (2 - 9 Z) = 4 (17 - 4 Z) \Rightarrow 10 - 45 Z = 68 - 16 Z \Rightarrow 10 - 68 = - 16 Z + 45 Z \Rightarrow - 58 = 29 Z \Rightarrow Z = - \frac{58}{29} \Rightarrow Z = - 2$
Hence, $Z = - 2$ is the correct answer.

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Solve :2-9Z17-4Z=45

Given: 2-9Z17-4Z=45After cross-multiplication, we get;⇒5(2-9Z)=4(17-4Z)⇒10-45Z=68-16Z⇒10-68=-16Z+45Z⇒-58=29Z⇒Z=-5829⇒Z=-2Hence,Z=-2 is the correct answer.

Solve :
$\frac{2 - 9 Z}{17 - 4 Z} = \frac{4}{5}$