Respuesta :

The value of n in the given equation is -2.6

Step-by-step explanation:

Given,

10 = [tex]\frac{2}{3n+8}[/tex]

To find the value of n

10 = [tex]\frac{2}{3n+8}[/tex]

or, 10(3n+8) = 2 [ by cross multiplication]

or, 30n + 80 = 2

or, 30n = 2-80 [ taking the constant values in one side]

or, 30n = -78

or, n = [tex]\frac{-78}{30}[/tex]

or, n = -2.6

Answer: n = 3

Step-by-step explanation:

10=2/3n+8

To find the value of n, make n the subject by subtracting 8 from both sides of the equation

2/3n + 8 - 8 = 10 - 8

2/3n = 2

Divide both sides by 2/3

n = 2 ÷ 2/3

n = 2 x 3/2

n = 3