Nine less than 4 times a number equals that number

Question

asked Aug 12, 2024 142k views

2 Answers

Jeffrey Chen · Answer 1 · 2024-08-12T21:30:59+0000

Answer: y = 3

Explanation:

Our task is to find the number, given that:

Nine less than 4 times a number equals that number.

So first, let y be our number.

Then:

4 times y => 4y

9 less than 4y => 4y - 9

It equals that number: 4y - 9 = y

So now, we have an equation that we can solve for y.

First, add 9 to both sides:

$\hookrightarrow\sf{4y=y+9}$

Then, subtract y from both sides:

$\hookrightarrow\quad\sf{3y=9}$

Lastly, divide both sides by 3:

$\hookrightarrow\quad\sf{y=3}$