Question

1/4t+4=3/4 (t+8) simple solution

Answer 1

t = - 4

Explanation:

given the equation

`(1)/(4)` t + 4 =
`(3)/(4)` (t + 8) ← multiply through by 4 to clear the fractions

t + 16 = 3(t + 8) ← distribute parenthesis

t + 16 = 3t + 24 ( subtract 3t from both sides )

- 2t + 16 = 24 ( subtract 16 from both sides )

- 2t = 8 ( divide both sides by - 2 )

`(-2)/(-2)` t =
`(8)/(-2)` , that is

t = - 4