SOLUTION: Ok this one I have no idea z-8/z+5=4/7 Now do I need to use a LCd? Which I believe would be 35. Know I think I am supposed to mult. 35 by both sides. (35)z-8/z+5 and (35)4/7

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Ok this one I have no idea z-8/z+5=4/7 Now do I need to use a LCd? Which I believe would be 35. Know I think I am supposed to mult. 35 by both sides. (35)z-8/z+5 and (35)4/7      Log On


   

Question 134430: Ok this one I have no idea
z-8/z+5=4/7
Now do I need to use a LCd? Which I believe would be 35.
Know I think I am supposed to mult. 35 by both sides.
(35)z-8/z+5 and (35)4/7
Now is this ok so far??
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28z-8%29%2F%28z%2B5%29=4%2F7+ Start with the given equation

7%28z-8%29=4%28z%2B5%29 Cross multiply



7z-56=4z%2B20 Distribute


7z=4z%2B20%2B56Add 56 to both sides


7z-4z=20%2B56 Subtract 4z from both sides


3z=20%2B56 Combine like terms on the left side


3z=76 Combine like terms on the right side


z=%2876%29%2F%283%29 Divide both sides by 3 to isolate z



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Answer:
So our answer is z=76%2F3 (which is approximately z=25.333 in decimal form)