Operations mistake

Algebra Level 2

Vikram has been working with Order of Operations all day, and has a strong sense that

(a)+b=ba, (-a) + b = b - a,

but doesn't know why. How many of the 11×11 11 \times 11 ordered pairs of integers (a,b) (a, b) , where aa and bb are integers from 0 to 10 (inclusive) , are there, such that

(a)+b=ba? (-a) + b = b-a?


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