SOLUTION: If {{{(ay-bx)/p = (cx-az)/q = (bx-cy)/r}}} then prove that {{{x/a =y/b=z/c}}}

Question 1014363: If then prove that
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!


It isn't true.  Here is a DISproof.  Let:

a=2, y=8, b=8, x=3, p=10, c=4, z=8, q=5, r=10

Substitute those values in:

, we get 

  





, so  is true.

However, look at what are supposed to be equal:

, , and 

They aren't equal at all!  So we cannot prove what isn't true, can we?

Maybe there was something else given.  Check and see.

Edwin

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