Nonlinear system with complex roots

Solve the system of equations: $9 x^{2} + 33 x - 12 = 12 x y - 4 y^{2} + 22 y$ , $x^{2} - x y = 18$ .

~20 minAnswer checked instantlysimultaneous equationscomplex roots

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 29

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