Chapter SH, Problem 2.9EP

To determine

To solve the equation and calculate the value of $k$

Answer to Problem 2.9EP

  $\frac{3}{14}$

Explanation of Solution

Given information:

Equation given is $\frac{4}{7}-\frac{k}{3}=\frac{1}{2}$

Formula used:

Cross multiplication method and lowest common factor

Calculation: subtracting $\frac{4}{7}$ from both sides

  $\frac{4}{7}-\frac{4}{7}-\frac{k}{3}=\frac{1}{2}-\frac{4}{7}$

Calculating it further

  $-\frac{k}{3}=\frac{1}{2}-\frac{4}{7}$

Using lowest common factor method on the right hand side

  $\frac{-k}{3}=\frac{7-8}{14}$

Solving it further

  $\frac{-k}{3}=-\frac{1}{14}$

Multiplying by minus one on both the sides

  $\frac{k}{3}=\frac{1}{14}$

Using cross multiplication method, the final answer is

  $k=\frac{3}{14}$