2x+y =14. (1)

x-y =4. (2)

adding (1) and (2)
3x = 18
or x =6
y = 2

- **Step 1: Rewrite the equations**

The given equations are:
- 2x + y = 14
- x - y = 4

- **Step 2: Eliminate one variable**

To eliminate one variable, we can add the two equations together. This will cancel out the variable "y".

- **Step 3: Add the equations**

Adding the two equations:
- (2x + y) + (x - y) = 14 + 4
- 3x = 18

- **Step 4: Solve for x**

Dividing by 3 on both sides:
- x = 6

- **Step 5: Substitute x back into one of the original equations**

Using the equation x - y = 4:
- 6 - y = 4
- y = 2

- **Step 6: Check the solution**

Substituting x = 6 and y = 2 back into the original equations:
- 2(6) + 2 = 14
- 12 + 2 = 14 (True)
- 6 - 2 = 4 (True)

Therefore, the solution to the system of equations is x = 6 and y = 2.