Solve the linear equation: n/2 - 3n/4 + 5n/6 = 21

Solution:

n/2 - 3n/4 + 5n/6 = 21

Multiply both sides by the LCM of the denominators to get rid of fractional denominator.

Now transpose variables to one side and constants to another side to form a linear equation.

n/2 - 3n/4 + 5n/6 = 21

LCM of the denominators is 12

Multiply the LCM on both sides

⇒ 12(n/2 - 3n/4 + 5n/6) = 12(21)

⇒ 6n - 9n + 10n = 252

⇒ 7n = 252

Hence, n = 252/7 = 36

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

Video Solution:

Solve the linear equation: n/2 - 3n/4 + 5n/6 = 21

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.5 Question 2

Summary:

The solution to the given linear equation n/2 - 3n/4 + 5n/6 = 21 is n = 36

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