Solve the following system by graphing.
x - y = 4
x + y = 2
What is the solution of the system?
(3,-1)
(3,1)
(-1,3)

(3,-1) A

Step-by-step explanation:

So we just add x-y=4 and x+y=2 to find our first value x. since the y's will cancel out each other out.

So x plus x= 2x and -y+y= cancels out the ys and 4 plus 2= 6. So we make our new equation with the y out. 2x=6 then dived both sides by 2 to get x=3

Then to find y times the first equation by negative 1. then the second by 1. So that changes the first equation to -x+y=-4 and the second to x+y=2 that way we cancel out the x's this time. So add them together. -x plus x= cancels them out. y plus y= 2y and then -4 plus 2=-2. So that makes our equation 2y=-2 so dived both sides by 2 and you get

y=-1

Hope this helps!

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step-by-step explanation:

0,0

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