Question

how do i solve u=3x+1/2x+5 for x... show work pls

Answer 1

\[u=\frac{3x+1}{2x+5}\]
Multiply (2x+5) on both sides.

Answer 2

got that far

Answer 3

\[(2x+5)u=3x+1\]
Distribute!
\[2x u +5 u =3x +1\]

Answer 4

put terms with u on one side and terms without u on the other side

Answer 5

alright, then haha?

Answer 6

\[2 x u-3 x= 1- 5u\]
sorry i wrote that backwards
terms with x on one side and terms without x on the other

Answer 7

now factor
\[x(2 u -3) =1- 5u\]

Answer 8

\[x=\frac{1 - 5u}{2u -3}\]

Answer 9

got it. thank you :D