Chapter 4, Problem 28SGR

To determine

To solve and check: the given equation

Answer to Problem 28SGR

The solution of the given equation is $s=\frac{8}{9}$ .

Explanation of Solution

Given:

  $s-\frac{2}{9}=\frac{2}{3}$

Calculation:

  $s-\frac{2}{9}=\frac{2}{3}$

Taking L.C.M.

  $\begin{array}{l}\frac{9s-2}{9}=\frac{2}{3}\\ \frac{9s-2}{3}=2\end{array}$

Multiplying with 3 both sides,

  $\begin{array}{l}\frac{9s-2}{3}\times 3=2\times 3\\ 9s-2=6\\ 9s=6+2\\ 9s=8\\ s=\frac{8}{9}\end{array}$

To check the solution, putting the value of s in the given equation,

  $\begin{array}{l}L.H.S=s-\frac{2}{9}\\ \text{ = }\frac{8}{9}-\frac{2}{9}\\ \text{ = }\frac{6}{9}\\ \text{ = }\frac{2}{3}\\ \text{ = R}\text{.H}\text{.S}\text{.}\end{array}$ Putting $s=\frac{8}{9}$

Conclusion:

Hence, the solution of the given equation is $s=\frac{8}{9}$ .