Respuesta :

[tex]\frac{n}{5}[/tex] - [tex]\frac{3n}{10}[/tex] = [tex]\frac{1}{5}[/tex]

(2n - 3n)/10 = 1/5

-n/10 = 1/5

-n = 1/5 × 10 = 2

n = -2

Question:

n/5 - 3n/10 = 1/5

Find the least common multiple (LCM) which is 10

Steps:

1. Multiply 10 to both sides

  • n/5 * 10 - 3n/10 * 10 = 1/5 * 10

2. Simplify,

  • 2n - 3n = 2
  • -n = 2

3. To get rid of the negative sign (-) divide both sides by -1

  • -1n/-1 = 2/-1

4. Simplify,

  • n = -2 which is the answer!

Hope that helped!!

~Serina