SOLUTION: Which equation is a direct variation with a constant of variation of 2/3? A)y=2x+3 B)2y=3x C)3y=2x D)x=2y+3

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Question 199367: Which equation is a direct variation with a constant of variation of 2/3?
A)y=2x+3 B)2y=3x C)3y=2x D)x=2y+3

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Which equation is a direct variation with a constant of variation of 2/3?
A)y=2x+3 B)2y=3x C)3y=2x D)x=2y+3
 
We are looking for the one when solved for y givesy=%282%2F3%29x

Solve each for y:

A) y=2x%2B3 is already solved for y.

B) 2y=3x 

Solve it for y

y=%283%2F2%29x, that's not it.

C)3y=2x 

Solve it for y:

y=%282%2F3%29x, yes that's it!!!

D)x=2y+3

We know it isn't this one, since the
answer is C, but let's see why it
isn't anyway:

Solve it for y:

y=x%2F2-3%2F2

It's not.

The only correct answer is C)

Edwin