document.write( "Question 111687: find the value of \"a\" and \"b\" so that the system of the of equation
\n" ); document.write( " 2x+3y+5z=9
\n" ); document.write( " 7x+3y-2z=8
\n" ); document.write( " 2x+3y+az=b has
\n" ); document.write( "1)no solution
\n" ); document.write( "2)a unique solution
\n" ); document.write( "3)an infinite number of solution
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Algebra.Com's Answer #81485 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find the value of \"a\" and \"b\" so that the system of the of equation
\n" ); document.write( "2x+3y+5z=9
\n" ); document.write( "7x+3y-2z=8
\n" ); document.write( "2x+3y+az=b has
\n" ); document.write( "-----------------------
\n" ); document.write( "1)no solution
\n" ); document.write( "Find the determinant of the \"coefficient matrix\".
\n" ); document.write( "Let that determinant be zero.
\n" ); document.write( "Solve for \"a\".
\n" ); document.write( "I get a=5
\n" ); document.write( "--------------------\r
\n" ); document.write( "\n" ); document.write( "2)a unique solution
\n" ); document.write( "There will be a unique solution as long
\n" ); document.write( "as a is not 5; b may be any value
\n" ); document.write( "----------------------------
\n" ); document.write( "3)an infinite number of solution
\n" ); document.write( "Cause the 3rd equation to be a multiple of the 2nd equation.
\n" ); document.write( "Multiply thru the 3rd equation by (7/2) to find (7/2)a=-2
\n" ); document.write( "and (7/2)b=16/7
\n" ); document.write( "Then solve for and b.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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