SOLUTION: Can you help me solve this equation please? 1. 9/x = 4/3x + 1 x = ?

Question 119584: Can you help me solve this equation please?
1. 9/x = 4/3x + 1
x = ?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1. 9/x = 4/3x + 1
:
Assume you mean:
= x + 1
:
Multiply equation by 3x to get rid of the denominators:
3x* = 3x*x + 3x(1)
:
Cancel out the denominators and you have:
3(9) = x(4x) + 3x
27 = 4x^2 + 3x
:
Arrange as a quadratic equation:
4x^2 + 3x - 27 = 0
:
Factor this to:
(x + 3)(4x - 9) = 0
Two solutions
x = -3
and
4x = +9
x =
x = 2.25
;
:
Check solution in original equation using x = +2.25:
= 2.25 + 1
4 = 3 + 1:; confirms our solutlio
:
You can check the x = -3 solution
:
:
If I have misinterpreted this problem, it's = + 1
then this is a whole difference animal and will have to be done over.
Let me know.

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