Question

make x the subject:
y = x+2/x+3

Answer 1

You mean isolate the x, right?

Answer 2

yeah, i have no idea how to start doing it

Answer 3

Oh, I see, never seen someone writes "make x the subject."

Multiply both sides by x+3\[y(x+3) = x+2\]\[xy + 3y = x+ 2\]Now take all terms with x to one side while take all terms that don't have x to the other side.\[xy-x = 2-3y\]\[x(y-1)= 2-3y\]Divide both sides by y-1.\[\boxed{x = \dfrac{2-3y}{y-1}}\]

Is this clear?

Answer 4

i dont understand how you got 2 -3y?

Answer 5

oh wait dont worry i get it haha

Answer 6

I subtracted both sides by 3y.

Answer 7

oh ok haha

Answer 8

yeah took a while to see that lol

Answer 9

thanks for the help mate

Answer 10

No problem.