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Solve the Following Equations. - SSC (English Medium) Class 8 - Mathematics

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Question

Solve the following equation.

`("x" - 9)/("x" - 5) = 5/7`

Solution

`("x" - 9)/("x" - 5) = 5/7`

Multiplying both sides by 7 

⇒ 7 `(("x" - 9)/("x" - 5)) = 5/7 xx 7`

⇒ `(7"x" - 63)/("x" - 5) = 5`

Multiplying both sides by (x - 5)

⇒ `(7"x" - 63)/("x" - 5)` (x - 5) = 5(x - 5)

⇒ 7x - 63 = 5x -25

Adding 63 to both sides

⇒ 7x - 63 + 63 = 5x - 25 + 63

⇒ 7x - 63 = 5x - 38

Subtracting 5x from both sides 

⇒ 7x - 5x = 5x + 38 - 5x

⇒ 2x = 38

Dividing both sides by 2

⇒ `(2"x")/2 = 38/2`

⇒ x = 19

Hence, x = 19 is the solution of the equation.

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 12: Equations in one variable
Practice Set 12.1 | Q: 2.09 | Page no. 77
Solution Solve the Following Equations. Concept: Solution of Equations in One Variable.
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