IF 5x - 6y5u - 6v - 5x - 6y5u - 6vThen prove that x- y - u- v

5x + 6y5u + 6v = 5x 6y5u 6v (By alternendo) 5x + 6y5x 6y = 5u + 6v5u 6v 5x + 6y + 5x 6y5x + 6y 5y + 6y = 5u + 6v + 5u 6v5u + 6v 5 ...

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Componendo and Dividendo

IF 5x + 6y5...

Question

IF $\frac{5 x + 6 y}{5 u + 6 v} = \frac{5 x - 6 y}{5 u - 6 v}$
Then prove that x: y = u: v

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Prove that if then . Will this be true if we use some other numbers instead of 2, 5, 4 and 6?

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\frac{5 x + 6 y}{5 u + 6 v} = \frac{5 x - 6 y}{5 u - 6 v};

x : y = u : v

\frac{5 x + 6 y}{5 u + 6 y} = \frac{5 x - 6 y}{5 u - 6 y}

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$8 v - 3 u = 5 u v$

6 v - 5 u = - 2 u v

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