document.write( "Question 1092376: X+y+z+=8
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document.write( "-x-y+2z=-4
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document.write( "3x+5y-7z=14\r
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document.write( "2x-3y+z=-1
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document.write( "X+4y+5=25
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document.write( "3x-4y+z=2 \n" );
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Algebra.Com's Answer #706986 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! X+y+z+=8 \n" ); document.write( "-x-y+2z=-4 \n" ); document.write( "3x+5y-7z=14 \n" ); document.write( "============ \n" ); document.write( "x+y+z+=8 \n" ); document.write( "-x-y+2z=-4 \n" ); document.write( "3z=4 \n" ); document.write( "z=(4/3) \n" ); document.write( "can also multiply the top by -3 to get -3x-3y-3z=-24 \n" ); document.write( "add it to ===================== 3x+5y-7z=14 \n" ); document.write( "That is 2y-10z=-10 \n" ); document.write( "but z+(4/3), so 2y-40/3=-30/3 \n" ); document.write( "2y=10/3; y=5/3 \n" ); document.write( "substitute into second -x-5/3+8/3=-12/3 \n" ); document.write( "-x=-5 \n" ); document.write( "x=5 \n" ); document.write( "That works in all 3 equations (5, 5/3, 4/3) \n" ); document.write( "=============\r \n" ); document.write( "\n" ); document.write( "2x-3y+z=-1 \n" ); document.write( "X+4y+5z=25; I edited a z in \n" ); document.write( "3x-4y+z=2 \n" ); document.write( "determinant of the coefficients of the variables is -10 \n" ); document.write( "put the constants in for x and divide that matrix determinant by -10 to get x, which is 8.7 (-87/-10 \n" ); document.write( "same for y , which is 5.7 \n" ); document.write( "and for z, which is -1.3 \n" ); document.write( "Check (8.7, 5.7, -1.3) ANSWER \n" ); document.write( "17.4-17.1-1.3=-1 \n" ); document.write( "8.7+22.8-6.5=25 \n" ); document.write( "26.1-22.8-1.3=2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |