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