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Solve the following: 9-3y1-9y=85 - Mathematics

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Question

Solve the following:

`(9 - 3y)/(1 - 9y) = 8/5`

Sum

Solution

Given, `(9 - 3y)/(1 - 9y) = 8/5`

⇒ 5(9 – 3y) = 8(1 – 9y)  ...[By cross-multiplication]

⇒ 45 – 15y = 8 – 72y

⇒ 72y – 15y = 8 – 45  ...[Transposing – 72y to LHS and 45 to RHS]

⇒ 57y = – 37

⇒ `(57y)/57 = (-37)/57`  ...[Dividing both sides by 57]

∴ `y = (-37)/57`

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Chapter 4: Linear Equation In One Variable - Exercise [Page 117]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 4 Linear Equation In One Variable
Exercise | Q 71. | Page 117

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