romanadamj romanadamj
  • 22-02-2020
  • Mathematics
contestada

If 3t - 7 =5t, then 6t =

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Hrishii
Hrishii Hrishii
  • 22-02-2020

Step-by-step explanation:

[tex]3t - 7 = 5t \\ \\ \therefore \: 3t - 5t = 7 \\ \\ \therefore \: - 2t = 7 \\ \\ \therefore \: t = \frac{7}{ - 2} \\ \\ \therefore \: t = - 3.5 \\ \\ \implies \: 6t = 6 \times ( - 3.5) = - 21[/tex]

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ProfessorAlvarez
ProfessorAlvarez ProfessorAlvarez
  • 22-02-2020

[tex]\text{First, we need to find what t equals}\\\\\text{Solve for t:}\\\\3t - 7 =5t\\\\\text{Subtract 5t from both sides}\\\\-2t-7=0\\\\\text{Add 7 to both sides}\\\\-2t=7\\\\\text{Divide both sides by -2}\\\\t=-3.5\\\\\text{Now, plug -3.5 to t:}\\\\6(-3.5) = -21\\\\\boxed{-21}[/tex]

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