Question

solve Y - 3 by Y + 4 is equal to Y + 1 by Y - 2​

Answer 1

(y - 3) / (y + 4) = (y + 1) / (y - 2)

(y - 3)(y - 2) = (y + 1)(y + 4)

y^2 - 3y - 2y + 6 = y^2 + 4y + y + 4

2 = 10y

y = 0.2 : Ans

Hope I helped

Answer 2

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${\large{\blue{\bold{\underline{Given:-}}}}}$

$\implies \: \frac{y - 3}{y + 4} = \frac{y + 1}{y - 2} \\ \\ \implies \: (y - 3)(y - 2) = (y + 1)(y + 4) \\ \\ \implies \: {y}^{2} - 2y - 3y + 6 = {y}^{2} + 4y + y + 4 \\ \\ \implies \: - 5y + 6 = 5y + 4 \\ \\ \implies \: 6 - 4 = 5y +5y \\ \\ \implies \: 2 = 10y \\ \\ \implies \: y = \frac{2}{10} \\ \\ \implies \: y = \frac{1}{5}$

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