Respuesta :

Answer:

2

Step-by-step explanation:

mn + p = m + 3n, n = 4 and p = 6

m(4)+6=m+3(4)

4m+6=m+12

4m=m+6

3m=6

m=2

Answer:

B) 2

Step-by-step explanation:

Step 1: Plug in the values of n and p.

  • [tex]m(4) + 6 = m + 3(4)[/tex]
  • [tex]4m + 6 = m + 12[/tex]

Step 2: Subtract m from both sides.

  • [tex]4m + 6 - m = m + 12 - m[/tex]
  • [tex]3m+6=12[/tex]

Step 3: Subtract 6 from both sides.

  • [tex]3m + 6 - 6 = 12 - 6[/tex]
  • [tex]3m = 6[/tex]

Step 4: Divide both sides by 3.

  • [tex]\frac{3m}{3} = \frac{6}{3}[/tex]
  • [tex]m = 2[/tex]

Step 5: Check if solution is correct.

  • [tex](2)(4)+(6)=(2)+3(4)[/tex]
  • [tex]8 + 6 = 2 + 12[/tex]
  • [tex]14 = 14[/tex]

Therefore, the answer is B) 2.