Question

How do you solve and check your solution given `n-4.72=7.52`?

Answer 1

See the solution and validation process below:

Explanation:

First, add `color(red)(4.72)` to each side of the equation to solve for `n`:

`n - 4.72 + color(red)(4.72) = 7.52 + color(red)(4.72)`

`n - 0 = 12.24`

`n = 12.24`

To check the solution substitute `color(red)(12.24)` for `color(red)(n)` in the original equation, calculate the left side of the equation and ensure it equals `7.52`:

`color(red)(n) - 4.72 = 7.52` becomes:

`color(red)(12.24) - 4.72 = 7.52`

`7.52 = 7.52`

Because both sides of the equation are equal the solution checks out and is validated.