Question

If n+14 upon n-1=2n upon 2n-15 find 3n-7
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Answer 1

Answer:

$\frac{n + 14}{n - 1} = \frac{2n}{2n - 15} \\ n + 14(2n - 15) = 2n(n - 1) \\ 2 {n}^{2} - 15n + 28n - 210 = 2 {n}^{2} - 2n \\ 2 {n}^{2} + 13n - 210 = 2 {n}^{2} - 2n \\ 2 {n}^{2} - 2 {n}^{2} + 13n + 2n - 210 = 0 \\ 15n - 210 = 0 \\ 15n = 210 \\ n = \frac{210}{15} \\ n = \underline{ \underline{ 14}} \\ \\ 3n - 7 \\ 3(14) - 7 \\ 42 - 7 \\ \underline{ \underline{35}}$