SOLUTION: Solve the equation and atate any extraneous solutions. Thanks! 2y/ y - 4

SOLUTION: Solve the equation and atate any extraneous solutions. Thanks! 2y/ y - 4 - 3/ 5 = 3

Question 35539: Solve the equation and atate any extraneous solutions. Thanks!
2y/ y - 4 - 3/ 5 = 3
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

Start by adding to each side of the equation:

Now, since means the same as , it follows that
means that

So,

This value of y does NOT make any denominators zero, so there are no extraneous roots. However, it's easy to check by substituting y=9 in the original equation:

It checks!!

R^2 at SCC
RELATED QUESTIONS
solve the equation: watch for extraneous solutions: 5 = y+7 +1 y-3... (answered by nycsub_teacher)

Solve equation. Watch for extraneous solutions.... (answered by College Student)

Solve the equation and find extraneous solutions.... (answered by josgarithmetic,MathTherapy)

Solve the equation and state any extraneous solutions. Thanks so much! 5x/ x + 1 + 1/ x... (answered by stanbon)

solve the equation and indicate any extraneous solutions https://ibb.co/b3qHwa... (answered by MathLover1)

Can someone help me solve the problem of extraneous solutions... (answered by Fombitz)

Solve the absolute value equation and check for extraneous solutions... (answered by edjones)

Solve and check for extraneous solutions {{{ sqrt ( x+10 ) + sqrt ( 3-x )= 5 }}}... (answered by 31,MathTherapy)

42.) Solve each equation. Watch for extraneous solution. 5/y-3 = y+7/2y-6 +... (answered by Edwin McCravy)