Respuesta :

renknee

Answer:

[tex]t = \frac{3k+6}{k-2}[/tex]

Step-by-step explanation:

Step 1: Multiply both sides by t - 3.

  • [tex]kt - 3k = 2t + 6[/tex]

Step 2: Add -2t to both sides.

  • [tex]kt - 3k -2t = 2t + 6 -2t[/tex]
  • [tex]kt-3k -2t = 6[/tex]

Step 3: Add 3k to both sides.

  • [tex]kt-3k-2t+3k=6+3k[/tex]
  • [tex]kt - 2t = 3k + 6[/tex]

Step 4: Factor our the variable.

  • [tex]t(k-2)=3k+6[/tex]

Step 5: Divide both sides by (k - 2).

  • [tex]\frac{t(k-2)}{(k-2)} = \frac{3k+6}{k-2}[/tex]
  • [tex]t = \frac{3k+6}{k-2}[/tex]

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