Question

Find the error and and the correct answer

Answer 1

Error: Multiplied both sides by 3/4 instead of 4/3.

Solution: x = 16

Explanation:

The error is that you multiplied both sides by
`(3)/(4)` instead of dividing both sides by
`(3)/(4)`.

This is an error because:

`(3)/(4) *(3)/(4) x\\eq x`

Actually:

`(3)/(4) *(3)/(4) x=(9)/(16) x`

What you want to do instead is divide both sides by
`(3)/(4)`. Remember, dividing both sides by
`(3)/(4)` would be the same as multiplying both sides by
`(4)/(3)`.

Now, lets find the correct answer:

`(3)/(4)x=12`

Multiply both sides by 4/3.

x = 16

So the correct answer would be x = 16.

I hope this helps. Happy studying.