Question

2n-3/2n-1 = 3n-1/3n+1​

Answer 1

Step-by-step explanation:

Question:

$\frac{2n - 3}{2n - 1} = \frac{3n - 1}{3n + 1}$

Answer:

$\frac{2n - 3}{2n - 1} = \frac{3n - 1}{3n + 1} \\ (2n - 3)(3n + 1) = (3n - 1)(2n - 1) \\ 2n(3n + 1) - 3(3n + 1) = 2n(3n - 1) - 1(3n - 1) \\ 6 {n}^{2} + 2n - 9n - 3 = 6 {n}^{2} - 2n - 3n + 1 \\ 6 {n}^{2} - 7n - 3 = 6 {n}^{2} - 5n + 1 \\ - 7n + 5n = 1 + 3 \\ - 2n = 4 \\ n = - \frac{4}{2} \\ n = - 2$

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