Solve by trial-and-error method.
`13=4p-7`

Answer

To solve the equation \( 13 = 4p - 7 \) using the trial-and-error method, we will follow these steps:

### Step 1: Understand the equation
We need to find the value of \( p \) that makes the equation true. The equation can be rearranged to express \( p \) in terms of a number.

### Step 2: Substitute values for \( p \)
We will start by substituting different values for \( p \) into the equation \( 4p - 7 \) and see if we can get the result to equal 13.

### Step 3: Try \( p = 1 \)
Substituting \( p = 1 \):
\[ 4(1) - 7 = 4 - 7 = -3 \]
This is not equal to 13.

### Step 4: Try \( p = 2 \)
Substituting \( p = 2 \):
\[ 4(2) - 7 = 8 - 7 = 1 \]
This is not equal to 13.

### Step 5: Try \( p = 3 \)
Substituting \( p = 3 \):
\[ 4(3) - 7 = 12 - 7 = 5 \]
This is not equal to 13.

### Step 6: Try \( p = 4 \)
Substituting \( p = 4 \):
\[ 4(4) - 7 = 16 - 7 = 9 \]
This is not equal to 13.

### Step 7: Try \( p = 5 \)
Substituting \( p = 5 \):
\[ 4(5) - 7 = 20 - 7 = 13 \]
This is equal to 13!

### Conclusion
The value of \( p \) that satisfies the equation \( 13 = 4p - 7 \) is \( p = 5 \).

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