Question

2y+3/y = 3/2 rational expression help

Answer 1

@Ashleyisakitty @poopsiedoodle @whpalmer4 @blahhedup101

Answer 2

are you trying to solve an equation?

Answer 3

\[2y+\frac{3}{y}=\frac{3}{2} \\ \text{ multiply both sides by } y \neq 0 \\ y(2y+\frac{3}{y})=y(\frac{3}{2} )\\ y(2y)+y(\frac{3}{y})=\frac{3}{2}y \\ 2y^2+3=\frac{3}{2} y \\ \text{ if you don't want \to deal with any fractions multiply both sides by 2 } \\ 4y^2+6=3y \\ \text{ subtract} 3y \text{ on both sides } 4y^2-3y+6=0\]
you have a quadratic equation to solve.

but the equation you wrote is probably not the equation you meant
you probably meant
\[\frac{2y+3}{y}=\frac{3}{2}\]
though I could be wrong about that too

you did say rational expression after all and you have an equation composed of rational expressions on left and right side

Answer 4

and if you meant the last equation I wrote which
is (2y+3)/y=3/2
I would still multiply both sides by y and 2

Answer 5

\[2(2y+3)=3(y) \\ 4y+6=3y \]

Answer 6

@freckles than what

Answer 7

you solve for y

Answer 8

And I still don't know what equation you mean

Answer 9

@freckles The second equation you showed

Answer 10

ok do something to get your y terms on one side

Answer 11

@freckles Thanks

Answer 12

what did you get?

Answer 13

\[2(2y+3)=3(y) \\ 4y+6=3y\]
You subtracted 4y on both sides right?