SOLUTION: What is the solution to the system of equations? x + y = 2 x - y = 4

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Question 922374: What is the solution to the system of equations?
x + y = 2
x - y = 4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x+%2B+y+=+2.....eq.1
x+-+y+=+4.........eq.2
_________________________________add both
x+%2B+y+%2B%28x+-+y%29=+2%2B4
x+%2Bcross+%28y%29+%2Bx+-+cross%28y%29=+6
x++%2Bx+=+6
2x=+6
x=+6%2F2
highlight%28x=+3%29
go back to eq.1 or eq.2, plug in 3 for x and find y
3+-+y+=+4.........eq.2
3+-+y%2By+=+4%2By
3=+4%2By
3-4=+4-4%2By
-1=y
highlight%28y=-1%29
see it on a graph: