Chapter 1: Q41. (page 20)

Find the value of $x$ . Then name the property used.
41. $\frac{1}{2} \cdot x = \frac{1}{2} \cdot 7$

Short Answer

Expert verified

The value of $x$ is 7.

Step by step solution

– Write the given information

The equation given is

$\frac{1}{2} \cdot x = \frac{1}{2} \cdot 7$

– Write the property used

The multiplication property of equality:

Same number can be multiplied to both sides of the equation and the resulting equation will be equivalent to the original.

- DESCRIPTION OF STEP

In order to find the value of ‘ $x$ ’ multiply both sides of the equation with reciprocal of $\frac{1}{2}$ , that is 2, as:

$\begin{matrix} \frac{1}{2} \cdot x = \frac{1}{2} \cdot 7 \\ \frac{1}{2} \cdot x \cdot 2 = \frac{1}{2} \cdot 7 \cdot 2 \\ \frac{1}{2} \cdot 2 \cdot x = \frac{1}{2} \cdot 2 \cdot 7 (commutativeproperty) \\ 1 \cdot x = 1 \cdot 7 \\ \Rightarrow x = 7 \end{matrix}$

Thus, the value of $x$ is 7.

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Find the value of $x$ . Then name the property used.
41. $\frac{1}{2} \cdot x = \frac{1}{2} \cdot 7$

Short Answer

Step by step solution

– Write the given information

– Write the property used

- DESCRIPTION OF STEP

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Find the value of x. Then name the property used.41.12⋅x=12⋅7

Short Answer

Step by step solution

– Write the given information

– Write the property used

- DESCRIPTION OF STEP

One App. One Place for Learning.

Most popular questions from this chapter

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Find the value of $x$ . Then name the property used.
41. $\frac{1}{2} \cdot x = \frac{1}{2} \cdot 7$