1

Problem

Use the commutative property of multiplication to find the value of a variable:
(18 × x) = (16 × 18)

2

Step

The given equation

(18 × x) = (16 × 18)

3

Formula

Commutative property of multiplication: (a × b) = (b × a).

4

Step

Now, we can solve for x:

(18 × x) = (16 × 18)

5

Step

After multiplication

18x = 288

6

Step

Move the x coefficient to the right side then we get x value

\$ x = \cancel(288)^(16)/\cancel(18)^1 \$

x = 16

7

Solution

So, the value of the variable x is 16.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

Incorrect; it implies 18 times x equals 34, contrary to the given equation. It lacks commutative property application

Wrong 34

10

Choice-B

Option B implies x equals 18, yet by applying the commutative property, x is accurately 16

Wrong 18

11

Choice-C

It’s accurate by balancing both sides using the Commutative Property of Multiplication, maintaining equation equality

Correct 16

12

Choice-D

Incorrect; it’s derived from 16 multiplied by 18, not helpful for determining the value of x

Wrong 288

13

Answer

Option

C

14

Sumup

Please Summarize Choices