Question

How do you solve and check your solutions to `m/2=14`?

Answer 1

See the entire solution and verification process below:

Explanation:

First, to solve this equation we multiply each side of the equation by `color(red)(2)` in order to solve for `m` while keeping the equation balanced:

`color(red)(2) xx m/2 = color(red)(2) xx 14`

`cancel(color(red)(2)) xx m/color(red)(cancel(color(black)(2))) = 28`

`m = 28`

To verify or check this solution we substitute `color(red)(28)` for `m` in the original equation. Then simplify the expression on the left side of the equation to ensure it is equal to `14`:

`color(red)(28)/2 = 14`

`14 = 14`

Because 14 is equal to 14 `m = 28` is the correct solution to this problem.