#1340 · Algebra · Systems

Fractional Equations with Parameters

Solve the system of equations: $\frac{x - a}{a ^{2}} + \frac{y - b}{b ^{2}} = \frac{1}{x - b} - \frac{1}{y - a} - \frac{1}{a - b} = 0$ .

~15 minAnswer checked instantlyfractional equationsalgebraic manipulation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 39

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