Best Answer - Chosen by Asker
To find the ordered pair, you use either substitution or you can combine the equations. I think substitution's more fun, so I'll do that.
x-y=4 -> y=x-4
2x+y=5 -> 2x+x-4=5 -> 3x=9 -> x=3
y=x-4 -> y=3-4 -> y=-1
The ordered pair is, therefore, (3,-1). You can check this if you want by plugging the numbers back into the original equations.
Because the lines for y=x-4 and y=5-2x are not parallel and intersect at one point, the system is independent.
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- Simplistic breakdown- great teaching mechanism!