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An unusual mathematical problem
This problem is actually to find the intersection of straight lines.

The solution of the equation system | x+ 1 |+x- 1 | = b means that straight lines have intersections, or x, a, b A and b can be found to make the equation hold.

1: when x ≥ 1, | x+ 1 |+x- 1 | = 2x.

|x- 1|=x- 1

Y=2x and y=x- 1 do not intersect.

2:- 1≤x≤ 1,| x+ 1 |+x- 1 | = 2。

|x- 1|= 1-x

The intersection of y=2 and y= 1-x is x=- 1.

3:x & lt; At - 1,| x+ 1 |+x- 1 | =-2x

|x- 1|= 1-x

Y=2 and y= 1-x do not intersect.

So the solution of the equation is x=- 1.

a=2

b=2