Quadratic and product system

Solve the system of equations: $x^{2} + 4 y^{2} - 15 x = 10 (3 y - 8)$ , $x y = 6$ .

~12 minAnswer checked instantlysimultaneous equationssubstitution

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 26

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