SOLUTION: can you please help me with {x+y=12 {x-y=2

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There are several ways to do this problem (linear combination, substitution, graphing). The easiest is by linear combination. You are going to subtract the two equations.
x+y=12
-(x-y=2) Put the common terms over each other like a subtraction problem.
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x+y=12
-x+y=-2 Distribute the negative to both sides of equation
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0x+2y=10 Combine like terms.
2y=10
2y/2=10/2
y=5

You can put this solution on YOUR website!
Add the two equations to give:
2x=14
x=7 substitute this into 1st equation
7+y=12 subtract 7 from both sides
y=5
Pete