Define the symbol # by the following equations:
`{:(x#y = (x - y)^(2),", if" x > y),(x#y = x + y//4,", if" x le y):}`
If `x # y = -1`, which of the following could be true?

Solve the following system of equations: (x+y)/(x y)=2,\ \ \ (x-y)/(x y)=6

If x^2 - y^2 = 16 and x + y > x - y , then which one of the following could x - y equal ?

For all nonzero numbers x and y, the operation grad is defined by the equation x grad y = (|x|)/(x^(2))+(y^(2))/(|y|) when x gt y and by the equation x grad y = (|x|)/(y^(2))-(x^(2))/(|y|) when x le y . If x grad y lt 0 , then which of the following could be true ? I. x^(3)=y^(3) II. (y+x)(y-x)gt 0 III. x-y gt 0

Solve the following system of equations: 3/(x+y)+2/(x-y)=2,\ \ \ \ 9/(x+y)-4/(x-y)=1

Solve the following system of equations: x+y=2x y ,\ \ \ \ (x-y)/(x y)=6,\ \ x!=0,\ y!=0

If A={(x,y}: y=3^(x), y in R} and B={{x,y}:y=x, x,y in R} then which of the following is true?

If A={(x,y}: y=3^(x), y in R} and B={{x,y}:y=x, x,y in R} then which of the following is true?

Solve the following system of equations: x+y=5x y ,\ \ \ \ 3x+2y=13 x y ,\ \ \ x!=0,\ \ \ y!=0

Solve the following simultaneous equations. (10)/(x + y) + (2)/(x -y) = 4 , (15)/(x + y) - (5)/(x - y) = - 2

Solve the following simultaneous equations 10/(x+y)+2/(x-y)=4,15/(x+y)-5/(x-y)=-2 .