Chapter 0.5, Problem 27E

To determine

To solve the equation $\frac{2}{9}x-4=\frac{2}{3}$

Answer to Problem 27E

  $x=21$

Explanation of Solution

Given Information: $\frac{2}{9}x-4=\frac{2}{3}$

Formula Used : Linear equations with one variable

Calculation:

Given equation is

  $\frac{2}{9}x-4=\frac{2}{3}$

To isolate variable x, adding 4 to both side-

  $\frac{2}{9}x-4+4=\frac{2}{3}+4$

This gives

  $\frac{2}{9}x=\frac{14}{3}$

To simplify further, multiply by $\frac{9}{2}$ both side-

  $\frac{9}{2}\times \frac{2}{9}x=\frac{14}{3}\times \frac{9}{2}$

This gives

  $x=\frac{14}{3}\times \frac{9}{2}$

To simplify further, writing 14 and 9 into its factors-

  $x=\frac{2\times 7}{3}\times \frac{3\times 3}{2}$

Hence the final answer is-

  $x=21$