I. Directions: Solve for the unknown. Show your complete solution.
1.
5n = 3n + 5
2.
Ba = 4a + 20
3.
4n + 5 = 3n -8
4.
12y = 3y + 24
5.
6n + 7 = 8n -9​


Sagot :

Answer:

  1. [tex] \frac{5}{2} [/tex]
  2. [tex] - 13[/tex]
  3. [tex] \frac{8}{3} [/tex]
  4. [tex]8[/tex]

Step-by-step explanation:

  1. [tex]5n = 3n + 5 \\ 5n - 3n = 5 \\ 2n = 5 \\ \frac{2n}{2} = \frac{5}{2} \\ n = \frac{5}{2} [/tex]
  2. [tex]4n + 5 = 3n - 8 \\ 4n = 3n - 8 - 5 \\ 4n = 3n - 13 \\ 4n - 3n = - 13 \\ n = - 13[/tex]
  3. [tex]12y = 3y + 24 \\ 12y - 3y = 24 \\ 9y = 24 \\ \frac{9y}{9} = \frac{24}{9} \\ y = \frac{24}{9} \\ y = \frac{8}{3} [/tex]
  4. [tex]6n + 7 = 8n - 9 \\ 6n - 8n = - 9 - 7 \\ - 2n = - 16 \\ \frac{ - 2n}{ - 2} = \frac{ - 16}{ - 2} \\ n = 8[/tex]