possible values for x and y when => x squared + 2xy - x =200

Question

possible values for x and y

 

x²+ 2xy - x =200

Answer 1

an infinite number of solutions for x^2 + 2xy - x = 200

let x= 1, then y = 100, (x,y)=(1,100) is a solution

let x=2 then y= 198/4 = 49.5, (2,49.5) is another solution

let x= 3 then y = 194/6 = 32.333... (3,32 1/3) is another solution

let x =4 then y = 188/8 = 23.5, (4, 23.5) is another solution

x and y are inversely related,

2xy = 200+x-x^2

y = 100/x + 1/2 - x/2

solutions are (x, 100/x+1/2-x/2)