Question

Question 1

The product of 7 and a number, increased by 3, is equal to the number, subtracted from 39. Find the number.

Answer 1

`n = 4.5`

Explanation:

We can turn these words into a real equation. This gets us:

`7n + 3 = 39 - n`

We want to isolate
`n` on one side of the equation.

Let's add
`n` to both sides:

`7n + n + 3 = -39 - n +n\\\\8n + 3 = -39`

Subtract 3 from both sides:

`8n+3-3 = 39-3\\\\8n = 36`

Divide both sides by 8:

`8n / 8 = 36 / 8\\\\n=4.5`

Hope this helped!