document.write( "Question 937871: If x + 2y + 3z = 6, 2x + 3y + z = 8 and 3x + y + 2z = 10, what is the value of x + y + z? \n" ); document.write( "

Algebra.Com's Answer #571267 by TimothyLamb(4379) $\"\"$ $\"About$

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x + 2y + 3z = 6
\n" ); document.write( "2x + 3y + z = 8
\n" ); document.write( "3x + y + 2z = 10
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form
\n" ); document.write( "---
\n" ); document.write( "x + 2y + 3z = 6
\n" ); document.write( "2x + 3y + z = 8
\n" ); document.write( "3x + y + 2z = 10
\n" ); document.write( "---
\n" ); document.write( "copy and paste the above standard form linear equations in to this solver:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
\n" ); document.write( "---
\n" ); document.write( "solution by matrix method:
\n" ); document.write( "x = 2.666666
\n" ); document.write( "y = 0.666666
\n" ); document.write( "z = 0.666666
\n" ); document.write( "---
\n" ); document.write( "now by elimination:
\n" ); document.write( "---
\n" ); document.write( "(x + 2y + 3z = 6)*(-2)
\n" ); document.write( "2x + 3y + z = 8
\n" ); document.write( "---
\n" ); document.write( "-2x - 4y - 6z = -12
\n" ); document.write( "2x + 3y + z = 8
\n" ); document.write( "---
\n" ); document.write( "add the two above:
\n" ); document.write( "---
\n" ); document.write( "-y - 5z = -4
\n" ); document.write( "---
\n" ); document.write( "(x + 2y + 3z = 6)*(-3)
\n" ); document.write( "3x + y + 2z = 10
\n" ); document.write( "---
\n" ); document.write( "-3x - 6y - 9z = -18
\n" ); document.write( "3x + y + 2z = 10
\n" ); document.write( "---
\n" ); document.write( "add the two above:
\n" ); document.write( "---
\n" ); document.write( "-5y - 7z = -8
\n" ); document.write( "---
\n" ); document.write( "-5y - 7z = -8
\n" ); document.write( "(-y - 5z = -4)*(-5)
\n" ); document.write( "---
\n" ); document.write( "-5y - 7z = -8
\n" ); document.write( "5y + 25z = 20
\n" ); document.write( "---
\n" ); document.write( "add the two above:
\n" ); document.write( "---
\n" ); document.write( "18z = 12
\n" ); document.write( "z = 12/18
\n" ); document.write( "z = 0.666666
\n" ); document.write( "-y - 5z = -4
\n" ); document.write( "y = 4 - 5z
\n" ); document.write( "y = 0.666666
\n" ); document.write( "x + 2y + 3z = 6
\n" ); document.write( "x = 6 - (2y + 3z)
\n" ); document.write( "x = 2.666666
\n" ); document.write( "---
\n" ); document.write( "solution by elimination:
\n" ); document.write( "x = 2.666666
\n" ); document.write( "y = 0.666666
\n" ); document.write( "z = 0.666666
\n" ); document.write( "---
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\n" ); document.write( "Solve and graph linear equations:
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\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
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