Question

HELP ME!!! Why is it possible to isolate the variable, x, in the equation 2x = 20 by using either the division property of equality or the multiplication property of equality?​

Answer 1

Answer: Because division is the inverse of multiplication.

Explanation:

By multiplying the equation 2x=20 by 1/2 you will be able to eliminate the x variable,

For example,

1/2 * 2x = 20*1/2

x= 10

The same way if you divide both sides of the equation 2x=20 by 2 you will be able to to eliminate the x variable.

For example

2x = 20 Divide both sides by 2

x= 10

As you can see 2 is the division inverse of 1/2.