document.write( "Question 146472: if \"%28bx+-+ay%29%2Fb+=+%28cy+-+bz%29%2Fc+=+%28az+-+cx%29%2Fa\" and given that \"bx%21=ay\"
\n" ); document.write( "\"cy%21=bz\" and \"az%21=cx\", which of the follwing is true...??\r
\n" ); document.write( "\n" ); document.write( "(1)\"a%2Bb=c\" (2)\"a%2Bb%2Bc=0\" (3)\"ab%2Bbc%2Bca=0\" (4)\"ab%2Bbc-ca=0\" \n" ); document.write( "
Algebra.Com's Answer #107206 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
if \"%28bx+-+ay%29%2Fb+=+%28cy+-+bz%29%2Fc+=+%28az+-+cx%29%2Fa\" and given that \"bx%21=ay\"
\n" ); document.write( "\"cy%21=bz\" and \"az%21=cx\", which of the follwing is true...??\r
\n" ); document.write( "\n" ); document.write( "(1)\"a%2Bb=c\" (2)\"a%2Bb%2Bc=0\" (3)\"ab%2Bbc%2Bca=0\" (4)\"ab%2Bbc-ca=0\"
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document.write( "None of those are true necessarily.\r\n" );
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document.write( "Here is a counter-example which shows that:\r\n" );
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document.write( "\"a=x=2\", \"b=y=1\", \"c=z=1\"\r\n" );
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document.write( "We show that in this case:\r\n" );
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document.write( "\"%28bx+-+ay%29%2Fb+=+%28cy+-+bz%29%2Fc+=+%28az+-+cx%29%2Fa\"\r\n" );
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document.write( "is true by substituting:\r\n" );
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document.write( "\"%281%2A2+-+2%2A1%29%2F1+=+%281%2A1+-+1%2A1%29%2F1+=+%282%2A1+-+1%2A2%29%2F2\"\r\n" );
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document.write( "\"0=0=0\"\r\n" );
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document.write( "Now we show that\r\n" );
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document.write( "\"bx%21=ay\" is true by substituting:\r\n" );
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document.write( "\"1%2A2%21=2%2A1%21\"\r\n" );
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document.write( "\"2=2\"\r\n" );
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document.write( "Then we show that\r\n" );
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document.write( "\"cy%21=bz\" is true by substituting:\r\n" );
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document.write( "\"1%2A1%21=1%2A1%21\"\r\n" );
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document.write( "\"1=1\"\r\n" );
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document.write( "And finally we show that\r\n" );
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document.write( "\"az%21=cx\" is true by substituting:\r\n" );
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document.write( "\"2%2A1%21=1%2A2%21\"\r\n" );
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document.write( "\"2=2\"\r\n" );
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document.write( "Now look at the four choices:\r\n" );
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document.write( "choice (1)  \"a%2Bb=c\"   \r\n" );
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document.write( "Substituting:  \"2%2B1=1\" which is false\r\n" );
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document.write( "choice (2)  \"a%2Bb%2Bc=0\" \r\n" );
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document.write( "Substituting:  \"2%2B1%2B1=0\" which is false\r\n" );
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document.write( "choice (3)  \"ab%2Bbc%2Bca=0\"  \r\n" );
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document.write( "Substituting: \"2%2A1%2B1%2A1%2B1%2A2=0\" which is false\r\n" );
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document.write( "choice (4)\"ab%2Bbc-ca=0\"\r\n" );
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document.write( "Substituting: \"2%2A1%2B1%2A1-1%2A2=0\" which is also false.\r\n" );
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document.write( "So you can tell your teacher that this is a bogus problem.\r\n" );
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document.write( "Edwin

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