Question 339823
1.{{{3x+y+z=0}}}
2.{{{2x-y+z=0}}}
3.{{{2x+y+z=0}}}
Add eq. 1 and eq. 2,
{{{3x+y+z+2x-y+z=0+0}}}
4.{{{5x+2z=0}}}
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Add eq. 2 and eq. 3,
{{{2x-y+z=0}}}
{{{2x+y+z=0}}}
5.{{{4x+2z=0}}}
Subtract eq. 4 from eq. 3,
{{{5x+2z-4x-2z=0-0}}}
{{{x=0}}}
Then work backwards,
{{{5(0)+2z=0}}}
{{{2z=0}}}
{{{z=0}}}
And finally,
{{{2(0)+y+0=0}}}
{{{y=0}}}
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{{{highlight(x=y=z=0)}}}