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9/2x+1=4/x

solve the equation if there is no solution say no

 

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Garnet H. | Calculus, Physics, Stat, Linear Algebra, GRE, GMAT, SAT... TutoringCalculus, Physics, Stat, Linear Algebra,...
4.9 4.9 (894 lesson ratings) (894)
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assuming those are 3 terms and not 2 you should start by noting all restrictions for x. In this case, x cannot be 0 because we can't divide by 0. multiply both sides by the lcm (2x) 9 + 2x = 8 ===> 2x = -1 ===> x = -1/2

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if it's really 9/(2x+1), then Robert's solution is the correct one, given below.
Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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Do you mean 9/(2x+1)=4/x?

Cross multiplication gives,

9x = 4(2x+1)

9x = 8x + 4

x = 4 <==Answer