Chapter 4.3, Problem 3CYU

To determine

To calculate:To solve the equation, then check your solution and graph it on number line

Answer to Problem 3CYU

On solving, $d=\frac{1}{2}$

Explanation of Solution

Given information:Equation is $d-\frac{1}{3}=\frac{1}{6}$

Calculation:

Equation is given as

  $d-\frac{1}{3}=\frac{1}{6}$

On solving above equation,

  $\begin{array}{l}d=\frac{1}{6}+\frac{1}{3}\\ d=\frac{1+2}{6}\\ d=\frac{3}{6}\\ d=\frac{1}{2}\end{array}$

In order to check the solution, substitute $d=\frac{1}{2}$ in the given equation

Left Hand side of equation is

  $\begin{array}{l}\Rightarrow \frac{1}{2}-\frac{1}{3}\\ \Rightarrow \frac{3-2}{6}\\ \Rightarrow \frac{1}{6}\end{array}$

Now, left hand side of equation is equal to right hand side.

Hence, $d=\frac{1}{2}$ is solution of the equation $d-\frac{1}{3}=\frac{1}{6}$

Graphing $d=\frac{1}{2}$ on number line,

Let y axis is represented as d-axis

Conclusion:

Hence, solution of equation is $d=\frac{1}{2}$