SOLUTION: Hi could you help me solve this rational equation?
y-3/5 = y+1/7
thanks
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Question 136242: Hi could you help me solve this rational equation?
y-3/5 = y+1/7
thanks
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I have to assume that you meant: , because what you wrote: has no solution.
7 and 5 have no common factors so the LCD is 7*5=35, so:
Add the additive inverse of the right side to both sides:
Since both fractions have the same denominator, add the numerators directly:
Distribute and collect like terms:
We know that if and only if and . The denominator is not a problem because clearly , so all we need do is set the numerator equal to zero and solve:
Check:
, Answer checks.
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