Question

2t -5/6=11/15-45t solve​

Answer 1

Answer:

t=47/30, (-1)

Step-by-step explanation:

$\frac{2t - 5}{6} = \frac{11}{15 - 45t} \\ cross \: multiply \\ (2t - 5)(15 - 45t) = 11(6) \\ 30t - 90t {}^{2} - 75 + 225t = 66 \\ - 90t {}^{2} + 255t - 75 - 66 = 0 \\ - 90t {}^{2} + 255t - 141 = 0 \\ - 30(30t {}^{2} + 75t - 47) = 0 \\ 30t {}^{2} + 75t - 47 = 0 \\ 30t {}^{2} + 30t + 47t - 47 = 0 \\ 30t(t + 1) - 47(t + 1) = 0 \\ (30t - 47)(t + 1) = 0 \\ \\ t = \frac{47}{30} \: \: \: and \: \: \: - 1$

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