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Get access to the detailed solutions to the previous years questions asked in IIM IPMAT exam
We can consider the quadrants of a graph:
First quadrant: Both x and y are positive
This would change the equation to 2x + y = 15 and x = 20, giving a negative value of y; hence, this is not the case.
Second quadrant: x is negative, but y is positive
This would change the equations to y = 15 and x = 20, giving a positive value of x, which hence can not be the case.
Third quadrant: Both x and y are negative
This would change the equation to y = 15 and x − 2y = 20; this gives a positive value of y and hence can not be the case.
Fourth quadrant: x is positive, but y is negative
This would change the equations to 2x + y = 15 and x − 2y = 20; this gives the value of x as 10 and y as − 5, which would lie in the fourth quadrant.
The value of x − y would be 10 − (− 5) = 15