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If \(\frac{\sqrt{6y+2}}{\sqrt{2y}}=\frac52\), solve for y. Express your answer in simplest fractional form.

 Apr 15, 2020
 #1
avatar+23689 
+1

square both sides of the equation to get

 

(6y+2)/2y = 25/4

6y+2 = 50y/4           multiply by 4 to make things easier

24y +8 = 50y

8 = 26y

y = 8/26 = 4/13

 Apr 15, 2020

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