How to solve this? Ans is 1?

How to solve this? Ans is 1?

First solve the eqn:

1-x = y-1 and 1-x = -(y-1)
x+y = 2 and x-y =0 or x = y

Adding the above two equation we get

2x = 2 or x = 1

Now, just plot the above two equation (x+y =2 and x=y)in the cartesian plane to get the area.

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