Respuesta :

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex] \large \mathfrak{Solution : }[/tex]

let's solve for t :

  • 6t - 9 + 8 = 7 + 2(t - 1)

  • 6t - 1 = 7 + 2t - 2

  • 6t - 2t = 5 + 1

  • 4t = 6

  • t = 6 ÷ 4

  • t = 3/2 or 1.5

Answer:

t = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

(6t - 9) + 8 = 7 + 2(t - 1) ← distribute parenthesis on both sides

6t - 9 + 8 = 7 + 2t - 2 , that is

6t - 1 = 5 + 2t ( subtract 2t from both sides )

4t - 1 = 5 ( add 1 to both sides )

4t = 6 ( divide both sides by 4 )

t = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

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