Question 984332
No it's not right.
Check using the original equations.
{{{x+y=0}}}
{{{0+0=0}}}
{{{0=0}}}
True, so far, so good.
{{{x-y+2=0}}}
{{{0-0+2=0}}}
{{{2=0}}}
False, so this can't be the solution.
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Add the two equations together to eliminate y.
{{{x+y+x-y+2=0}}}
{{{2x+2=0}}}
{{{2x=-2}}}
{{{x=-1}}}
Then use either equation to solve for {{{y}}}.
{{{x+y=0}}}
{{{-1+y=0}}}
{{{y=1}}}
(-1,1)
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Graph the two equations.
{{{x+y=0}}}
{{{y=-x}}}
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{{{graph(300,300,-5,5,-5,5,-x)}}}
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{{{x-y+2=0}}}
{{{y=x+2}}}
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{{{graph(300,300,-5,5,-5,5,-x,x+2)}}}