Q). Number of possible value of pair (x, y) such that x + y + x y = 1 2 , x + y x y = - 1 2 (A) 1 (B) 2 (C) 0 (D) None of these Share with your friends Share 0 Aarushi Mishra answered this x+y+xy=12 _______1x+y=12-xyx+yxy=-12 _______212-xyxy=-12Let t=xy12-tt=-121-2tt=-1-2t2+t=-12t2-t-1=02t2-2t+t-1=02tt-1+t-1=0t-12t+1=0t=1 or t=-12xy=1 or xy=-12Case 1:xy=-12x+y-12=12x+y=1y=1-xxy=-12x1-x=-122x=x-1x=-1y=2Case 2:xy=1x+y+1=12x+y=-12y=-12-xxy=-12x-12-x=1x=-x-122x=-12x=-14y=-12-x=-14Two ordered pair of solutions 0 View Full Answer