Find the solution of the following equations by trial-and-error method.
`11+x=19`

Answer

To solve the equation \( 11 + x = 19 \) using the trial-and-error method, we will follow these steps:

### Step 1: Understand the Equation
The equation \( 11 + x = 19 \) means we need to find a value of \( x \) that, when added to 11, equals 19.

### Step 2: Start Testing Values
We will start testing values for \( x \) starting from 1 and increasing until we find a solution.

### Step 3: Test \( x = 1 \)
- Substitute \( x = 1 \):
\[ 11 + 1 = 12 \]
This is not equal to 19.

### Step 4: Test \( x = 2 \)
- Substitute \( x = 2 \):
\[ 11 + 2 = 13 \]
This is not equal to 19.

### Step 5: Test \( x = 3 \)
- Substitute \( x = 3 \):
\[ 11 + 3 = 14 \]
This is not equal to 19.

### Step 6: Test \( x = 4 \)
- Substitute \( x = 4 \):
\[ 11 + 4 = 15 \]
This is not equal to 19.

### Step 7: Test \( x = 5 \)
- Substitute \( x = 5 \):
\[ 11 + 5 = 16 \]
This is not equal to 19.

### Step 8: Test \( x = 6 \)
- Substitute \( x = 6 \):
\[ 11 + 6 = 17 \]
This is not equal to 19.

### Step 9: Test \( x = 7 \)
- Substitute \( x = 7 \):
\[ 11 + 7 = 18 \]
This is not equal to 19.

### Step 10: Test \( x = 8 \)
- Substitute \( x = 8 \):
\[ 11 + 8 = 19 \]
This is equal to 19.

### Conclusion
Since \( 11 + 8 = 19 \), we have found that the value of \( x \) is \( 8 \). Therefore, the solution to the equation \( 11 + x = 19 \) is:
\[ \boxed{8} \]