# Thread: Make x the subject

1. ## Make x the subject

I thought I was getting the hang of Algebra but this question has had me stumped all day.

Y=(XY+2)/(3X-4)

make X the subject.

Apparently the answer is X=(2Y+1)/Y

I can't get anywhere near the answer. Any help would be appreciated.

2. Originally Posted by futureprof
I thought I was getting the hang of Algebra but this question has had me stumped all day.

Y=(XY+2)/(3X-4)

make X the subject.

Apparently the answer is X=(2Y+1)/Y

I can't get anywhere near the answer. Any help would be appreciated.
Multiply through by (3X-4)

$Y(3X-4) = XY+2
$

Distribute Y on the left:

$3XY-4Y = XY+2$

Spoiler:
Bring X on one side

$
3XY-XY = 2+4Y$

Factor 2 on the right

$2XY = 2(1+2Y)$

2 will cancel and divide by Y

$X = \frac{1+2Y}{Y}$

3. Thankyou.

After all that it was really quite simple.

Practice, practice, practice. I think that is what I need.