Question

11. Solve: (6t - 9) + 8 = 7 + 2(t - 1)
​

Answer 1

t =
`(3)/(2)`

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 =
`(6)/(4)` =
`(3)/(2)`

Answer 2

`\large \mathfrak{Solution : }`

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