if y=3-x/2x find the expression equal to x+3

Question

the answer is: 6y+6/2y+1 but im confused on how to set this up would i set it equal to x+3?

Answer 1

y=(3-x)/2x

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

x+x/2y= 3/2y

(1+1/2y)x= 3/2y

([2y+1)/2y]x= 3/2y

(2y+1)x=3

x+(2y+1)x =x+3

x(1+2y+1)= x+3

x+3=x(2y+2)

x+3=(3/(2y+1))(2y+2)

x+3= (6y+6)/(2y+1)

Answer 2

I assume that you mean y = (3-x)/2x You can rearrange this to solve for x(y):

2xy = 3-x

x(2y+1) = 3

x = 3/(2y+1)

So, x+ 3 = 3/(2y+1) + 3 = (3+6y+3)/(2y+1) = (6y+6)/(2y+1)

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