Find the errors and correct the following mathematical sentence:3x + 2

1.	Find the errors and correct the following mathematical sentence:3x + 2 ÷ 3x = 2/3x
Answer» 3x + 2 ÷ 3x = \(\frac{2}{3x}\) ⇒ \(\frac{3x\,+\,2}{3x}\) = \(\frac{2}{3x}\) ⇒ 1 + \(\frac{2}{3x}\) = \(\frac{2}{3x}\) ⇒ 1 ≠ 0 ∴ The given sentence is wrong. Correct sentence is 3x + 2 ÷ 3x = 1 + \(\frac{2}{3x}\)

Find the errors and correct the following mathematical sentence:3x + 2 ÷ 3x = 2/3x

Answer»

3x + 2 ÷ 3x = \(\frac{2}{3x}\)

⇒ \(\frac{3x\,+\,2}{3x}\) = \(\frac{2}{3x}\)

⇒ 1 + \(\frac{2}{3x}\) = \(\frac{2}{3x}\)

⇒ 1 ≠ 0

∴ The given sentence is wrong.

Correct sentence is 3x + 2 ÷ 3x = 1 + \(\frac{2}{3x}\)