Chapter 4, Problem 42SGR

To determine

To solve and check: the given equation

Answer to Problem 42SGR

The required solution is $t=4.5$

Explanation of Solution

Given:

  $0.12t-0.6=-0.06$

Calculation:

Given equation: $0.12t-0.6=-0.06$

  $0.12t-0.6=-0.06$

Add0.6 both side,

  $\begin{array}{l}0.12t-0.6+0.6=-0.06+0.6\\ 0.12t=0.54\end{array}$

Dividing both side with 0.12

  $\begin{array}{l}\frac{0.12t}{0.12t}=\frac{0.54}{0.12}\\ t=4.5\end{array}$

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

  $\begin{array}{c}L.H.S.=0.12t-0.6\\ =0.12\left(4.5\right)-0.6Puttingt=4.5\\ =-0.06\\ =R.H.S.\end{array}$

Hence, the solution of the given equation is $t=4.5$ .

Conclusion:

Hence, the solution of the given equation is $t=4.5$ .