Question 417464
(1) {{{x-y=8}}}
(2) {{{x+y=-2}}}
Add the equations
{{{2x = 6}}}
Divide both sides by {{{2}}}
{{{x = 3}}}
Now plug this back into either (1) or (2)
(1) {{{3 - y = 8}}}
Subtract {{{3}}} from both sides
(1) {{{-y = 5}}}
Multiply both sides by {{{-1}}}
{{{y = -5}}}
The solution is (3,-5)
or, in other words:
{{{x = 3}}}
{{{y = -5}}}