CEMC Fermat, 2000

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

For the system of equations $x^2 + x^2y^2 + x^2y^4 = 525$ and $x + xy + xy^2 = 35$ , the sum of the real $y$ values that satisfy the equations is

(A) $20$ (B) $2$ (C) $5$ (D) $\frac{55}{2}$ (E) $52$

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