#1334 · Algebra · Systems

Algebraic Fraction and Linear Equation System

Solve the system of equations: $\frac{x ^{3} + y ^{3}}{( x + y ) ^{2}} + \frac{x ^{3} - y ^{3}}{( x - y ) ^{2}} = \frac{43 x}{8}$ , $5 x - 7 y = 4$ .

~15 minAnswer checked instantlysimultaneous equationsalgebraic fractions

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 32

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