Chapter 4, Problem 35SGR

To determine

To solve and check: the given equation

Answer to Problem 35SGR

The required solution is $x=-24$

Explanation of Solution

Given:

  $\frac{1}{6}x=-4$

Calculation:

Given equation: $\frac{1}{6}x=-4$

  $\frac{1}{6}x=-4$

Dividing both side with 6,

  $\begin{array}{l}\frac{1}{6}x\times 6=-4\times 6\\ x=-24\end{array}$

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

  $\begin{array}{c}L.H.S.=\frac{1}{6}x\\ =\frac{1}{6}\left(-24\right)Puttingx=-24\\ =-4\\ =R.H.S.\end{array}$

Hence, the solution of the given equation is $x=-24$ .

Conclusion:

Hence, the solution of the given equation is $x=-24$ .