Chapter 7.6, Problem 45SR

To determine

Find the solution of the given equation.

Answer to Problem 45SR

The solution of the given equation is $t=\frac{1}{6}$ .

Explanation of Solution

Given:

The given equationis $\frac{2t+15}{t}=92$ .

Calculation:

  $\frac{2t+15}{t}=92$

Apply cross multiplication.

  $\Rightarrow 2t+15=92t$

Subtract $2t$ from both sides.

  $\begin{array}{l}\Rightarrow 2t+15-2t=92t-2t\\ \Rightarrow 15=90t\end{array}$

Divide both sides by $90$ .

  $\begin{array}{l}\Rightarrow \frac{15}{90}=\frac{90}{90}t\\ \Rightarrow \frac{1}{6}=t\\ \Rightarrow t=\frac{1}{6}\end{array}$

Hence the solution of the given equationis $t=\frac{1}{6}$ .