In your own words, explain why solving 4=2x uses the divsion property of equality. provide an example with your explanation. (2 points)

1 answer

The division property of equality states that if you divide both sides of an equation by the same nonzero number, the equation remains true. In the equation 4=2x, we want to solve for x, which means we want to isolate it on one side of the equation. We can use the division property of equality to divide both sides of the equation by 2, since 2 is a nonzero number.

Example: Let's say we have the equation 8=4x. To solve for x, we can use the division property of equality and divide both sides of the equation by 4. This gives us:

8/4 = (4x)/4
2 = x

Therefore, x is equal to 2.