SOLUTION: 42.) Solve each equation. Watch for extraneous solution. 5/y-3 = y+7/2y-6 + 1

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Question 164064This question is from textbook Elementary and Intermediate
: 42.) Solve each equation. Watch for extraneous solution.
5/y-3 = y+7/2y-6 + 1
This question is from textbook Elementary and Intermediate

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!



Write the  as  so every term will be
a fraction:



Factor  by taking out a , as 



Put every term in parentheses:



The LCD is .  Put it over  and in
parentheses as  and multiply through by it:



Cancel what will cancel:



All that's left is











Check to see if y=3 is a solution:









That contains division by 0 and that is 
always undefined.  So  is not a
solution.  It is call an "extraneous 
solution", and not a genuine solution.
Therefore there is no solution to the
problem.

Edwin

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