Question 184587
See this video --> http://collabvsl.wetpaint.com/page/Solving+Systems+of+Equations

The solution in this case is the point that is the intersection of the two given lines.

There are several methods to solve this.
We will use addition
x + y = 8
x - y = -6      add these two
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2x = 2
x = 1
If x =1, then y is
x + y = 8
1 + y = 8
y = 7

So the solution is the point (1,7)

Check your answer using the second eqaution
x - y = -6
does 1 - 7 = -6 ??? yes it does !