Question 99602
Substitution method, your are going to solve one of the equations for x or y and then substitute that in the other equation;
x + y = -5 
x - y = 3 
lets go ahead and solve the fist equation for y;
x+y=-5
y=-5-x
Now substitute the y in the second equation with this;
x -(-5-x)=3
x+5+x=3
2x+5=3
2x=-2
x=-1
Now we have x so we can plug it into one of the equations and solve for y;
(-1)+y=-5
y=-5+1
y=-4
(-1,-4)
:)