Question

How do you solve `X/50=100/2` and find any extraneous solutions?

Answer 1

See the entire solution process below:

Explanation:

Multiply each side of the equation by `color(red)(50)` to solve for `X` while keeping the equation balanced:

`color(red)(50) * X/50 = color(red)(50) * 100/2`

`cancel(color(red)(50)) * X/color(red)(cancel(color(black)(50))) = 5000/2`

`X = 2500`

There are no extraneous solutions.