Question 895040
1.{{{x+y+z=2}}}
2.{{{x+y-z=0}}}
3.{{{x-y-z=6}}}
Add eq. 1 and eq. 2,
{{{x+y+z+z+y-z=2+0}}}
{{{2x+2y=2}}}
4.{{{x+y=1}}}
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.
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Add eq. 1 and eq. 3,
{{{x+y+z+x-y-z=2+6}}}
{{{2x=8}}}
{{{x=4}}}
Then from above,
{{{x+y=1}}}
{{{4+y=1}}}
{{{y=-3}}}
and finally,
{{{x+y+z=2}}}
{{{4-3+z=2}}}
{{{z=1}}}