SOLUTION: don't get it solve and check, begin by rewriting without fractions y/3+2/5=y/5-2/5

Algebra ->  Inequalities -> SOLUTION: don't get it solve and check, begin by rewriting without fractions y/3+2/5=y/5-2/5      Log On


   

Question 679936: don't get it
solve and check, begin by rewriting without fractions
y/3+2/5=y/5-2/5
Found 2 solutions by stanbon, ReadingBoosters:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y/3+2/5=y/5-2/5
----
Multiply thru by 15 to get:
5y + 6 = 3y - 6
-----
2y = -12
y = -6
=========
Cheers,
Stan H.
========

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
To rewrite without fractions, multiply by 15, the LCM of 3 and 5
...
15%28y%2F3%29+%2B+15%282%2F5%29+=+15%28y%2F5%29+-+15%282%2F5%29
...
5y + 6 = 3y - 6
Combine like terms
5y - 3y = -6 - 6
2y = -12
Divide both sides by 2
highlight_green%28y+=+-6%29
...
CHECK
-6%2F3+%2B+2%2F5+=+-6%2F5+-+2%2F5
-30%2F15+%2B+6%2F15+=+-8%2F5
-24%2F15+=+-8%2F15+=+-8%2F15 Correct!
.....................
Delighted to help; feel free to email if you have further questions.
HomeworkHelpers@readingboosters.com
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.