Question 175203
Can you please help me by WALKING me through how we determine that the intesect points for these two equations is (3,-1): (x - y = 4) & (x + y = 2). I need to see each step in the process of coming up with (3, -1). I know that these two points solves both equations. Thanks, Charlie
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You determine the "solution" for the system of the 2 eqns.  The solution is the point, or the values that satisfy both eqns.  In graphical terms, it's where the 2 lines cross (these are linear, so they're straight lines).
x - y = 4
x + y = 2
Solve by elimination and substitution, since the coeffs are all 1's.
Add the 2 eqns
2x + 0y = 6
x = 3
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Sub x into either eqn to find y, I'll use eqn 1.
3 - y = 4
y = -1
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Those 2 values are the point (3,-1)