Given, 1 9y11 3y=58 On cross multiplying, we get 8(1 9y)=5(11 3y) ⇒ 8 72y=55 15y Transpose y terms on one side, 15y+72y=8 55 ⇒ 57y ...

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Solving Equations with Variables on Both Sides

Solve: 1-9y...

Question

Solve: $\frac{(1 - 9 y)}{(11 - 3 y)} = (\frac{5}{8})$ .

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Solution

Given, $\frac{1 - 9 y}{11 - 3 y} = \frac{5}{8}$
On cross multiplying, we get
$8 (1 - 9 y) = 5 (11 - 3 y)$
$\Rightarrow 8 - 72 y = 55 - 15 y$
Transpose $y$ terms on one side,
$- 15 y + 72 y = 8 - 55$
$\Rightarrow 57 y = - 47$
$\Rightarrow y = - \frac{47}{57}$

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