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

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 Class 8 Maths Textbook
Chapter 2 Linear Equations in One Variable
Exercise 2.5 | Q 1 | Page 33