Question 43
Let $(x, y)$ be a pair of real numbers satisfying
$$
56 x + 33 y = \frac{-y}{x^{2} + y^{2}}, \quad \text{ and } \quad 33 x - 56 y = \frac{x}{x^{2} + y^{2}}
$$
Determine the value of $|x| + |y|$.
$$
56 x + 33 y = \frac{-y}{x^{2} + y^{2}}, \quad \text{ and } \quad 33 x - 56 y = \frac{x}{x^{2} + y^{2}}
$$
Determine the value of $|x| + |y|$.