Question

2x-1/2=3 solve the equation and verify answer of x in 2x-1/2=3

Answer 1

The value of x is  "$\dfrac{7}{4}$".

Also, is is verified.

Step-by-step explanation:

We have,

2x - $\dfrac{1}{2}$ = 3    ...... (1)

⇒ $\dfrac{4x - 1}{2}$ = 3

⇒ 4x - 1 = 3 × 2 = 6

⇒ 4x = 6 + 1 =7

∴ x = $\dfrac{7}{4}$

Hence, the value of x is  "$\dfrac{7}{4}$".

Verification,

Put x =  $\dfrac{7}{4}$ in (1), we get

2 ×  $\dfrac{7}{4}$ - $\dfrac{1}{2}$  = 3

⇒ $\dfrac{7}{2}$   - $\dfrac{1}{2}$  = 3

⇒ $\dfrac{7 - 1}{2}$ = 3

⇒ 3 = 3,

Hence. it is verified.