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# Solve the Linear Equation Xby2 - 1by5 = Xby3 + 1by4 - CBSE Class 8 - Mathematics

ConceptReducing Equations to Simpler Form

#### Question

Solve the linear equation x/2 - 1/5 = x/3 + 1/4

#### Solution

x/2 - 1/5 = x/3 + 1/4

L.C.M. of the denominators, 2, 3, 4, and 5, is 60.

Multiplying both sides by 60, we obtain

60(x/2 - 1/5) = 60 (x/3 + 1/4)

⇒ 30− 12 = 20+ 15 (Opening the brackets)

⇒ 30− 20x = 15 + 12

⇒ 10x = 27

⇒ x = 27/10

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 2: Linear Equations in One Variable
Ex. 2.50 | Q: 1 | Page no. 33
Solution Solve the Linear Equation Xby2 - 1by5 = Xby3 + 1by4 Concept: Reducing Equations to Simpler Form.
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