#984 · Algebra · Functional equations

Equation from Mixed Variation

If $y$ varies as the sum of two quantities, one varying directly as $x$ and the other inversely as $x$ , and $y = 6$ when $x = 4$ , $y = \frac{10}{3}$ when $x = 3$ , find the equation relating $x$ and $y$ .

~4 minAnswer checked instantlyDirect variationInverse variation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. III. Variation, Examples III, No. 9

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