Consider the equation `p = 5-2q - 3`
If` p = 4` then possible values of q are

Options

A. `2,1,-1`
B. `-1,1` only
C. `1` only
D. 2,1 only

Answer

To solve the equation \( p = 5 - 2q - 3 \) for the case when \( p = 4 \), follow these steps:

### Step 1: Substitute \( p = 4 \) into the equation
We start with the equation:
\[ p = 5 - 2q - 3 \]
Substituting \( p = 4 \) gives us:
\[ 4 = 5 - 2q - 3 \]

### Step 2: Simplify the equation
Now, simplify the right side:
\[ 4 = 5 - 3 - 2q \]
This simplifies to:
\[ 4 = 2 - 2q \]

### Step 3: Rearrange the equation
Next, we need to isolate \( q \). First, move \( 2 \) to the left side:
\[ 4 - 2 = -2q \]
This simplifies to:
\[ 2 = -2q \]

### Step 4: Solve for \( q \)
Now, divide both sides by \(-2\):
\[ q = \frac{2}{-2} = -1 \]

### Conclusion
Thus, the possible value of \( q \) is:
\[ q = -1 \]

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