Question

Which of the following is the solution to the equation 3 over 4y = 24?

Answer 1

What you can do is two things:
1. Just fill in "y" with each answer choice until you get the right thing.
2. Do it the right way, which is this:
You need to isolate "y". To do this, you first need to get rid of every number that doesn't have a variable with it, so you need to get rid of 3. In order to do this, you do the inverse operation of whatever you are doing. So, 3 is being divided by 4y, so the inverse operation of division is multiplication. You multiply on both sides of the equation. So you have:
3x3/4y=24x3
Finish multiplying, 3x3 cancels out, so you don't have anything left on top, so you have just 4y=72 because 24x3 is 72. Now you have:
4y=72
Now, in order to find "y", you need to do the inverse operation again, and this time, you do the inverse operation of multiplication, division. Your equation looks like:
4y/4=72/4
4y/4 cancels out, so your left with just ''y'', and 72 divided by 4 is 18, so you are left with:
y=18
That is your final answer.

Answer 2

3/4 y= 24

Multiply both sides of the equation by 4/3 (the reciprocal of 3/4) to be left with y.

4/3 × 3/4y = 24 × 4/3

y = 24 × 4/3

y = 32

Hope this helps!