document.write( "Question 1092376: X+y+z+=8
\n" ); document.write( "-x-y+2z=-4
\n" ); document.write( "3x+5y-7z=14\r
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\n" ); document.write( "\n" ); document.write( "2x-3y+z=-1
\n" ); document.write( "X+4y+5=25
\n" ); document.write( "3x-4y+z=2
\n" ); document.write( "

Algebra.Com's Answer #706986 by Boreal(15235)\"\" \"About 
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)
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\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
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