Question

Make x the subject 2x+3 divided by 5 =y

Answer 1

`x=(5y-3)/(2)`

Explanation:

So we have:

`(2x+3)/(5)=y`

We want x as the subject, which means we want x on one side of the equation, and everything else on the other side.

The key to doing this is to get rid of the things on x's side of the equation one by one, starting with the operators least 'close' to x; so the 2 in 2x will be the last to go, the 3 will be the second last etc.

First, to get rid of the fraction on the left, multiply both sides by 5 to get:

2x+3=5y

Now minus three from both sides to get:

2x=5y-3

Finally divide both sides by 2:

`x=(5y-3)/(2)`

Now x is the subject

Answer 2

Answer: x=(5y-3)/2.

Explanation:

Now the given equation can be rearrange to make x the subject as follows:

Cross multiply 5 to y.

That is, 2x+3=5y

⇒ 5y-3=2x

⇒ x=(5y-3)/2

Therefore, the equation for x in terms of y is x=(5y-3)/2.