x2+y2−10x−2x+17=0
Since the equation represents a circle with radius 44, there is no unique solution for x and y, and thus, no unique value for x+y
Step 1 :Rewrite the equation as x2−12x+y2−10y+17=0
Step 2 :Complete the square in x and y, we get (x−6)2−36+(y−5)2−25+17=0
Step 3 :Simplify the equation, (x−6)2+(y−5)2=44
Step 4 :Since the equation represents a circle with radius 44, there is no unique solution for x and y, and thus, no unique value for x+y