document.write( "Question 111687: find the value of \"a\" and \"b\" so that the system of the of equation
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document.write( " 2x+3y+5z=9
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document.write( " 7x+3y-2z=8
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document.write( " 2x+3y+az=b has
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document.write( "1)no solution
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document.write( "2)a unique solution
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document.write( "3)an infinite number of solution \n" );
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Algebra.Com's Answer #81485 by stanbon(75887) ![]() 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. \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |