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Algebra

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543

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

Guest May 1, 2021

Best Answer

+526

+3

$\sqrt{{6y+2}\over 2y+2}= {5\over 2}$

Now, squaring both sides

${{6y+2}\over {2y+2}}= {25 \over 4}$

Cross-multiplying both sides,

$24y+8=50y+50$

$26y=42$

⇒ $y= {21 \over 13}$

Value of y is ${21 \over 13}$ .

~ Amy

amygdaleon305 May 1, 2021

2⁺⁰ Answers

+201

0

can u screenshot it?

mathisopandcool May 1, 2021

+526

+3

Best Answer

$\sqrt{{6y+2}\over 2y+2}= {5\over 2}$

Now, squaring both sides

${{6y+2}\over {2y+2}}= {25 \over 4}$

Cross-multiplying both sides,

$24y+8=50y+50$

$26y=42$

⇒ $y= {21 \over 13}$

Value of y is ${21 \over 13}$ .

~ Amy

amygdaleon305 May 1, 2021

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