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

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lindseyharrison
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1346443313054:dw

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

campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.0ok... 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

lindseyharrison
 3 years ago
Best ResponseYou've already chosen the best response.0It's no solution

CliffSedge
 3 years ago
Best ResponseYou've already chosen the best response.0You 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.
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