Find the size of angle X.

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.