Question

67. If mn + p = m + 3n, what is the value of m when

n = 4 and p = 6? MP 2
A -2
B
2
C 3
D 3.6
O E 6

Answer 1

B) 2

Explanation:

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

• 
  `m(4) + 6 = m + 3(4)`
• 
  `4m + 6 = m + 12`

Step 2: Subtract m from both sides.

• 
  `4m + 6 - m = m + 12 - m`
• 
  `3m+6=12`

Step 3: Subtract 6 from both sides.

• 
  `3m + 6 - 6 = 12 - 6`
• 
  `3m = 6`

Step 4: Divide both sides by 3.

• 
  `(3m)/(3) = (6)/(3)`
• 
  `m = 2`

Step 5: Check if solution is correct.

• 
  `(2)(4)+(6)=(2)+3(4)`
• 
  `8 + 6 = 2 + 12`
• 
  `14 = 14`

Therefore, the answer is B) 2.

Answer 2

2

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