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lindseyharrison
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What is the solution to the rational equation 3/2  1/x+5 = 2/2x + 10
 2 years ago
 2 years ago
lindseyharrison Group Title
What is the solution to the rational equation 3/2  1/x+5 = 2/2x + 10
 2 years ago
 2 years ago

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lindseyharrison Group TitleBest ResponseYou've already chosen the best response.0
dw:1346443313054:dw
 2 years ago

lindseyharrison Group TitleBest ResponseYou've already chosen the best response.0
x = 5 x = 5/2 x = 5 No solution
 2 years ago

campbell_st Group TitleBest ResponseYou've already chosen the best response.0
ok... simplify the fraction on the rhs 2/(2x + 10) = 2/2(x + 5) = 1/(x + 5) so you have 3/2  1/(x + 5) = 1/(x + 5) add 1/(x + 5) to both sides for your solution
 2 years ago

lindseyharrison Group TitleBest ResponseYou've already chosen the best response.0
It's no solution
 2 years ago

campbell_st Group TitleBest ResponseYou've already chosen the best response.0
correct
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
You don't need to simplify the right side. \[\frac{3}{2}\frac{1}{x+5}=\frac{2}{2x+10}.\] Simplify the left side: \[\frac{3}{2}\frac{1}{x+5}=\frac{3x+13}{2x+10} .\] With same denominators, now you only need to solve the numerator equation, 3x+13=2 which indeed has no solution because if x=5 then division by zero.
 2 years ago
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