Find the value of n: (10n)/(-5) = -4

Question

Find the value of n:
`(10n)/(-5) = -4`

Answer 1

n = 2

Explanation:

cross multiply

-5 times -4 = 20

10n = 20

n = 2

Answer 2

`\bf{Move \ the \ negative \ symbol \ to \ the \ left. }`

`\boldsymbol{\sf{-(10n)/(5)=-4 \ \ \longmapsto \ \ [Split] }}`

`\boldsymbol{\sf{-2n=-4 }}`

`\bf{Divide \ both \ sides \ by \ -2. }`

`\boldsymbol{\sf{n=(-4)/(-2) }}`

`\bf{Two \ negatives \ make \ a \ positive. }`

`\boldsymbol{\sf{n=(4)/(2) \ \ \longmapsto \ \ [Split] }}`

`\blue{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \underline{n=2}}}}}`