SOLUTION: how are you? My first question is #10. ax/b + cx/d = e and #11 a/bx + c/d=e; for both of them i need to solve for X. i dont know how to really disect this problem to solve for X,

Question 148432This question is from textbook algebra the easy way
: how are you? My first question is #10. ax/b + cx/d = e
and #11 a/bx + c/d=e; for both of them i need to solve for X. i dont know how to really disect this problem to solve for X, dont know each step for this complex fraction equation. Any help at all is greatly appreciated. thank you.
-Brian This question is from textbook algebra the easy way

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
My first question is #10. ax/b + cx/d = e
and #11 a/bx + c/d=e; for both of them i need to solve for X.
------------------
10. ax/b + cx/d = e
Multiply by bd to eliminate fractions
adx + bcx = bde
x*(ad + bc) = bde
that's all you can do, no further simplification is possible.
----------
11. a/bx + c/d=e
There's more than one way to go at this, but you get the same answer.
a/bx = e - c/d
a/bx = (de-c)/d
Invert
bx/a = d/(de-c)
bx = ad/(de-c)

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