#937 · Algebra · Linear equations

Reciprocal proportionality

If $\frac{2 y + 2 z - x}{a} = \frac{2 z + 2 x - y}{b} = \frac{2 x + 2 y - z}{c}$ , show that $\frac{x}{2 b + 2 c - a} = \frac{y}{2 c + 2 a - b} = \frac{z}{2 a + 2 b - c}$ .

~8 minProof · checked by AIproportionalitysymmetry

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. I. Ratio, Examples I, No. 13

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