document.write( "Question 1042313: which condition must be placed on a,b,c, so that the system
\n" ); document.write( "x+2y-3z=a
\n" ); document.write( "2x+6y-11z=b
\n" ); document.write( "x-2y+7z=c
\n" ); document.write( "is consistent ? can the system have unique solution. \n" ); document.write( "

Algebra.Com's Answer #657297 by Edwin McCravy(20054) $\"\"$ $\"About$

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which condition must be placed on a,b,c, so that the system
\n" ); document.write( "x+2y-3z=a
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\n" ); document.write( "is consistent ? can the system have unique solution.
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document.write( "-2R1+1R2->R2\r\n" );
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document.write( "-1R1+1R3->R3\r\n" );
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document.write( "2R2+1R3->R3\r\n" );
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document.write( "To be consistent, since all the elements\r\n" );
document.write( "but the last one on the bottom row are 0,\r\n" );
document.write( "the last one must be 0 also:\r\n" );
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document.write( "Or if you prefer c = 5a-2b\r\n" );
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document.write( "There will only be a unique solution if a=b=c=0\r\n" );
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document.write( "and that unique solution will be (x,y,z) = (0,0,0)\r\n" );
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document.write( "Edwin

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