Question

A number is added to a rational number $\frac{-7}{3}$ to get $\frac{3}{7}$. Write the correct equation representing the above statement.

• A. 21x + 49 = 9
• B. -21x - 49 = 9
• C. -21x + 49 = 9
• D. 21x - 49 = 9

Answer 1

The correct option is D

21x - 49 = 9

Let the number to be added be x.

So, x + ($\frac{-7}{3}$) = $\frac{3}{7}$

$\Rightarrow$ x - ($\frac{7}{3}$) = $\frac{3}{7}$

$\Rightarrow$ 7(3x - 7) = 9

$\Rightarrow$ 21x - 49 = 9