Question

Solve: \(\frac{5}{2}x + \frac{3}{2} = \frac{6}{4}\).

(a) x = 1

(b) x = 2

(c) x = 3

(d) x = 0

This question was addressed to me in examination.

My question is taken from Solving Linear Equations with Variables on One Side and Number on the Other in section Linear Equations in One Variable of Mathematics – Class 8

Answer 1

The correct choice is (d) x = 0

For explanation: \(\frac{5}{2}x + \frac{3}{2} = \frac{6}{4}\)

Step 1: Reducing the fraction we get,

\(\frac{5}{2}x + \frac{3}{2} = \frac{3}{2}\)

Step 2: Multiplying LHS and RHS by 2 we get,

5x + 3 = 3

i.e. 5x = 0

Step 3: Dividing both sides by 5 we get,

x = 0.