If `(x + 1, y - 2) = (3, -1)`, find the values of x and y.

Options

A. `2,1`
B. `2,-1`
C. `-2,1`
D. None

Explanation

To solve the equation \((x + 1, y - 2) = (3, -1)\), we will follow these steps:

### Step 1: Set up the equations
Since the ordered pairs are equal, we can set their corresponding components equal to each other:
1. \(x + 1 = 3\)
2. \(y - 2 = -1\)

### Step 2: Solve for \(x\)
From the first equation \(x + 1 = 3\):
- Subtract 1 from both sides:
\[ x = 3 - 1 \]
- This simplifies to:
\[ x = 2 \]

### Step 3: Solve for \(y\)
From the second equation \(y - 2 = -1\):
- Add 2 to both sides:
\[ y = -1 + 2 \]
- This simplifies to:
\[ y = 1 \]

### Final Answer
Thus, the values of \(x\) and \(y\) are:
- \(x = 2\)
- \(y = 1\)

---