Question

3x + 4 |y| = 33. How many integer values of (x,y) are possible?

• A. 6
• B. 3
• C. 4
• D. More than 6

Answer 1

The correct option is D

More than 6

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.