document.write( "Question 828221: What is the solution of the system of equations?
\n" ); document.write( "2x+2y+3z=-6
\n" ); document.write( "3x+5y+4z=3
\n" ); document.write( "2x+3y+4z=-10 \n" ); document.write( "

Algebra.Com's Answer #499177 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
Algebra.com does not display matrices well. So I am just going to show you the rectangular array of numbers without the usual brackets.
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document.write( "Initial matrix:
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document.write( "     2     2     3    -6
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document.write( "     3     5     4     3
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document.write( "     2     3     4   -10
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document.write( "Replace row 1 with 1/2 times row 1:
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document.write( "     1     1   3/2    -3
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document.write( "     3     5     4     3
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document.write( "     2     3     4   -10
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document.write( "Add -3 times row 1 to row 2:
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document.write( "      1      1    3/2     -3
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document.write( "      0      2   -1/2     12
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document.write( "      2      3      4    -10
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document.write( "Add -2 times row 1 to row 3:
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document.write( "      1      1    3/2     -3
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document.write( "      0      2   -1/2     12
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document.write( "      0      1      1     -4
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document.write( "Replace row 2 with 1/2 times row 2:
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document.write( "      1      1    3/2     -3
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document.write( "      0      1   -1/4      6
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document.write( "      0      1      1     -4
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document.write( "Add -1 times row 2 to row 1:
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document.write( "      1      0    7/4     -9
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document.write( "      0      1   -1/4      6
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document.write( "      0      1      1     -4
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document.write( "Add -1 times row 2 to row 3:
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document.write( "      1      0    7/4     -9
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document.write( "      0      1   -1/4      6
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document.write( "      0      0    5/4    -10
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document.write( "Replace row 3 with 4/5 times row 3:
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document.write( "      1      0    7/4     -9
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document.write( "      0      1   -1/4      6
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document.write( "      0      0      1     -8
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document.write( "Add -7/4 times row 3 to row 1:
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document.write( "      1      0      0      5
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document.write( "      0      1   -1/4      6
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document.write( "      0      0      1     -8
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document.write( "Add 1/4 times row 3 to row 2:
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document.write( "    1    0    0    5
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document.write( "    0    1    0    4
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document.write( "    0    0    1   -8
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document.write( "which translates back into:
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document.write( "x = 5
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document.write( "y = 4
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document.write( "z = -8 \n" );
document.write( "

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