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Question 88549: 5/2x+3=1/x-6
Answer by checkley75(3666)   (Show Source):
You can put this solution on YOUR website! 5/(2x+3)=1/(x-6) if this is what you have? Then we need to cross multiply.
2x+3=5(x-6)
2x+3=5x-30
2x-5x=-3-30
-3x=-33
x=-33/-3
x=11 answer.
proof:
5/(2*11+3)=1/(11-6)
5/(22+3)=1/5
5/25=1/5 again cross multiply:
25=25
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HOWEVER: IF YOU HAVE
(5/2X)+3=(1/X)-6 THEN WE HAVE A TOTALLY DIFFERENT PROBLEM. tHUS:
(5/2X)-(1/X)=-3-6
(5-2*1)/2X=-9
(5-2)/2X=-9
3/2X=-9 NOW WE CROSS MULTIPLY:
-18X=3
X=3/-18
X=-1/6 ANSWER.
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