Chapter 4, Problem 41SGR

To determine

To solve and check: the given equation

Answer to Problem 41SGR

The required solution is $p=\frac{2}{7}$

Explanation of Solution

Given:

  $\frac{4}{7}+2p=\frac{2}{7}$

Calculation:

Given equation: $\frac{4}{7}+2p=\frac{2}{7}$

  $\frac{4}{7}+2p=\frac{2}{7}$

Making similar term together,

  $\begin{array}{l}\frac{4}{7}-\frac{2}{7}=-2p\\ \frac{2}{7}=-2p\end{array}$

Dividing with 2 both side

  $\begin{array}{l}\frac{2}{7\times 2}=\frac{-2p}{2}\\ -\frac{1}{7}=p\end{array}$

To check the solution, put the value of p in the given equation.

  $\begin{array}{c}L.H.S.=\frac{4}{7}+2p\\ =\frac{4}{7}+2\left(-\frac{1}{7}\right)Puttingp=-\frac{1}{7}\\ =\frac{4-2}{7}\\ =\frac{2}{7}\\ =R.H.S.\end{array}$

Hence, the solution of the given equation is $p=\frac{2}{7}$ .

Conclusion:

Hence, the solution of the given equation is $p=\frac{2}{7}$ .