SOLUTION: if {{{(bx - ay)/b = (cy - bz)/c = (az - cx)/a}}} and given that {{{bx!=ay}}} {{{cy!=bz}}} and {{{az!=cx}}}, which of the follwing is true...?? (1){{{a+b=c}}} (2){{{a+b+c=0}}}

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Question 146472: if and given that
and , which of the follwing is true...??
(1) (2) (3) (4)

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
if and given that
and , which of the follwing is true...??
(1) (2) (3) (4)

None of those are true necessarily.

Here is a counter-example which shows that:

, , 

We show that in this case:



is true by substituting:





Now we show that

 is true by substituting:





Then we show that

 is true by substituting:





And finally we show that

 is true by substituting:





Now look at the four choices:

choice (1)     

Substituting:   which is false

choice (2)   

Substituting:   which is false

choice (3)    

Substituting:  which is false

choice (4)

Substituting:  which is also false.

So you can tell your teacher that this is a bogus problem.

Edwin


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