Question 125069
1.{{{x+y=2}}}
2.{{{x-y=4}}}
Let's transform these two equations into slope-intercept form, y=mx+b.
1.{{{x+y=2}}}
{{{y=-x+2}}}
Slope = -1
Y-intercept = 2
{{{ graph( 300, 300, -5, 5, -5, 5, -x+2) }}}
2.{{{x-y=4}}}
{{{x-4=y}}}
{{{y=x-4}}}
Slope = 1 
Y-intercept = -4
{{{ graph( 300, 300, -5, 5, -5, 5, -x+2,x-4) }}}
It looks like (3,-1) is a solution. 
Let's check with the two eqautions.
1.{{{x+y=2}}}
{{{3+(-1)=2}}}
{{{2=2}}}
True statement.
2.{{{x-y=4}}}
{{{3-(-1)=4}}}
{{{4=4}}}
True statement.
Your answer led to two true statements.
It is a good answer.