3x + 9y = 11
9y = 11 - 3x
y = (11 - 3x)/9
6x + 3y = 7xy
6x + 3(11 - 3x)/9 = 7x(11 -3x)/9
multiply both sides by 9
54x +3(11 -3x) = 7x(11 -3x)
54x +33 -9x = 77x -21x^2
45x +33 = 77x -21x^2
21x^2 -32x +33 = 0
quadratic formula: if ax^2 +bx + c = 0 then x = (-b +- sqrt(b^2 -4ac) ) / 2a
x = (32 +- sqrt((-32)^2 - 4*21*33) / 2*21
x = (32 +- sqrt(1024 - 2772) ) / 42
x = (32 +- sqrt(-1748) ) / 42
can't do square root of a negative number, so there's no solution
Answer: No solution. There is no value for x and y that will satisfy both equations.