6y 5/2y=7/9 By cross multiplication, 9(6y 5)=7×2y ⇒ 54y 45=14y⇒ 54y 14y=45 ⇒ 40y=45⇒ y=45/40=9/8 Hence y=9/8 Ans. ...

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Solving Equations with Variables on Both Sides

Solve : 6y-5/...

Question

Solve :

$\frac{6 y - 5}{2 y} = \frac{7}{9}$

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Solution

$\frac{6 y - 5}{2 y} = \frac{7}{9}$

By cross multiplication,

$9 (6 y - 5) = 7 \times 2 y \Rightarrow 54 y - 45 = 14 y \Rightarrow 54 y - 14 y = 45 \Rightarrow 40 y = 45 \Rightarrow y = \frac{45}{40} = \frac{9}{8} Hence y = \frac{9}{8} A n s .$

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