Graphically The Pair Of Equations 6x 3y 10 0 2x Y 9 0 Represents Two Lines Which Are A Intersecting At Exactly One Pointb Intersecting At Exactly Two Pointsc Coincidentd Parallel Snapsolve SOLUTION 1 Begin with x 3 y 3 = 4 Differentiate both sides of the equation, getting D ( x 3 y 3) = D ( 4 ) , D ( x 3) D ( y 3) = D ( 4 ) , (Remember to use the chain rule on D ( y 3) ) 3x 2 3y 2 y' = 0 , so that (Now solve for y' ) 3y 2 y' = 3x 2, and Click HERE to return to the list of problems SOLUTION 2 Begin with (xy) 2 = x y 1 Differentiate both sides of the equation, getting First, put the equation in standard quadratic form (x −3)2 = 5 (x −3)(x − 3) = 5 x2 −3x − 3x 9 = 5 x2 −6x 9 = 5 x2 −6x 9 − 5 = 5 − 5 x2 −6x 4 = 0 We can now use the quadratic equation to solve this problem The quadratic formula states 3/x-1/y 9=0 2/x 3/y=5