Homogeneous Cubic System

Solve the system of equations: $b x^{3} = 10 a^{2} b x + 3 a^{3} y$ , $a y^{3} = 10 a b^{2} y + 3 b^{3} x$ .

~20 minAnswer checked instantlycubic equationshomogeneous equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 40

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).