Reciprocal Fractions System

Solve the system of equations $x + \frac{4}{y} = 1$ and $y + \frac{4}{x} = 25$ .

~8 minAnswer checked instantlysimultaneous equationsfractional equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 16

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