Lemma
MediumDiophantine equations
#1782 · Number Theory · Diophantine equations

Indeterminate Equations via Elimination

Solve the system in positive integers: and .

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H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVI. Indeterminate Equations of the First Degree, Examples XXVI, No. 12

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