Find the solution of the following equations by trial-and-error method.
`60-7y=11`

Answer

To solve the equation \(60 - 7y = 11\) using the trial-and-error method, we will substitute different values for \(y\) until we find the correct one that satisfies the equation.

### Step-by-Step Solution:

1. **Start with the equation**:
\[ 60 - 7y = 11 \]

2. **Rearranging the equation**:
To find the value of \(y\), we can rearrange the equation to isolate \(y\):
\[ 60 - 11 = 7y \]
This simplifies to:
\[ 49 = 7y \]
Dividing both sides by 7 gives:
\[ y = \frac{49}{7} = 7 \]

3. **Using trial-and-error method**:
Now, we will check different values of \(y\) to find the correct one.

- **Try \(y = 0\)**:
\[ 60 - 7(0) = 60 \quad (\text{not equal to } 11) \]

- **Try \(y = 1\)**:
\[ 60 - 7(1) = 60 - 7 = 53 \quad (\text{not equal to } 11) \]

- **Try \(y = 2\)**:
\[ 60 - 7(2) = 60 - 14 = 46 \quad (\text{not equal to } 11) \]

- **Try \(y = 3\)**:
\[ 60 - 7(3) = 60 - 21 = 39 \quad (\text{not equal to } 11) \]

- **Try \(y = 4\)**:
\[ 60 - 7(4) = 60 - 28 = 32 \quad (\text{not equal to } 11) \]

- **Try \(y = 5\)**:
\[ 60 - 7(5) = 60 - 35 = 25 \quad (\text{not equal to } 11) \]

- **Try \(y = 6\)**:
\[ 60 - 7(6) = 60 - 42 = 18 \quad (\text{not equal to } 11) \]

- **Try \(y = 7\)**:
\[ 60 - 7(7) = 60 - 49 = 11 \quad (\text{equal to } 11) \]

4. **Conclusion**:
Since substituting \(y = 7\) satisfies the equation, we conclude that:
\[ y = 7 \]

### Final Answer:
The solution to the equation \(60 - 7y = 11\) is \(y = 7\).