The sum of x% of y and y% of z is z% of x.
x and y are integers such that 1 = < x = < 9, 1 = < z = < 9.
If y is a perfect square number then how many ordered pair ( x , z ) are possible satisfying the given condition.
Given positive real numbers x, y, and z that satisfy the following system of equations:
x² + xy + y² = 9,
y² + yz + z² = 4,
z² + zx + x² = 1,
Find x + y + z