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# Algebra

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If sqrt(6y + 2)/sqrt(2y + 2) = 5/2, solve for y. Express your answer in simplest fractional form.

Nov 3, 2021

#1
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I am going to assume we are looking nly for real solutions.

sqrt(6y + 2)/sqrt(2y + 2) = 5/2

$$\displaystyle \frac{\sqrt{(6y + 2)}}{\sqrt{(2y + 2)}} = \frac{5}{2}\\$$

First you need to recognize that  2y+2 must be > 0

y > -1

square both sides

$$\displaystyle \frac{(6y + 2)}{(2y + 2)}= \frac{25}{4}\\$$

Can you take it from there?

Nov 3, 2021