Chapter 1.3, Problem 41PPS

To determine

To calculate: The value of x for equation $\frac{1}{2}x=\frac{1}{2}\cdot 7$ .

Answer to Problem 41PPS

x = 7

Explanation of Solution

Given information: 

Given that an equation is $\frac{1}{2}x=\frac{1}{2}\cdot 7$ .

Formula used: 

Here we use Multiplication Property of Equality.

It says, ‘If two expressions are equal to each other and multiply/divide by same number both side by same number, the resulting expression will also equivalent.’

Calculation:

Here we are given

  $\frac{1}{2}x=\frac{1}{2}\cdot 7$

Now use the Multiplication Property of Equality,

We will multiply both the side by 2.

  $\begin{array}{l}\frac{1}{2}x=\frac{1}{2}\cdot 7\\ 2\cdot \frac{1}{2}x=2\cdot \frac{1}{2}\cdot 7\\ x=7\end{array}$