Question

(X + y)/xy =2, (X-Y)/xy = 6; x+ 0, y 0 are satisfied by the values given by the pair:​

Answer 1

Step-by-step explanation:

• approach:
• x + |y| = 8 and |x| + y = 6

|y|= 8-x and |x|= 6-y; squaring both equations to remove mod:

• and

1) and 2) ; Substituting value of from equation 2 in equation 1:

Solving this we get y= -1 and x= 7; Put in x + |y| = 8 and |x| + y = 6 to check if it satisfies the initial condition.

Condition is satisfied and we got a unique value. So, (7, -1) is a possible value.

There will not be any other value that satisfies x + |y| = 8 and |x| + y = 6 conditions.

Answer: (D) 1

Please can anyone clarify whether my understanding "There will not be any other value that satisfies x + |y| = 8 and |x| + y = 6 conditions." is correct?

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