(|x| - 3) (|y| + 4) = 12. How many pairs of integers (x, y) satisfy this equation
Correct option is
Explanatory Answer :
3x=33-4 |y|When a multiple of 4 is subtracted from 33, we need to get a multiple of 3.
Since 33 is a multiple of 3, we have to subtract a multiple of 3 from it.
Y can be +ve or -ve.
All these values are possible: (3,6),(-1,9),(-5,12),(-9,15)..............
Therefore there are infinite integer values of x and y that are possible.
hence option D is correct