Solve the system of equations: { 2n + m = 5, 2n - m = 11

The system of equations is:

• 2n + m = 5
• 2n - m = 11

Step-by-step solution:

1. Step 1: Add the two equations together.
   (2n + m) + (2n - m) = 5 + 11
   2n + m + 2n - m = 16
   4n = 16
2. Step 2: Solve for 'n'.
   n = 16 / 4
   n = 4
3. Step 3: Substitute the value of 'n' (4) back into the original first equation (2n + m = 5) to solve for 'm'.
   2(4) + m = 5
   8 + m = 5
4. Step 4: Solve for 'm'.
   m = 5 - 8
   m = -3

Answer: n = 4, m = -3