Find the values of x and y if:
`(x-1,y+3)=(4,4)`

Answer

To find the values of \( x \) and \( y \) given the equation \( (x-1, y+3) = (4, 4) \), we can follow these steps:

### Step 1: Set the coordinates equal to each other
Since the ordered pairs are equal, we can set the corresponding components equal to each other:
\[ x - 1 = 4 \quad \text{(1)} \]
\[ y + 3 = 4 \quad \text{(2)} \]

### Step 2: Solve for \( x \)
From equation (1), we can solve for \( x \):
\[ x - 1 = 4 \]
Adding 1 to both sides gives:
\[ x = 4 + 1 \]
\[ x = 5 \]

### Step 3: Solve for \( y \)
From equation (2), we can solve for \( y \):
\[ y + 3 = 4 \]
Subtracting 3 from both sides gives:
\[ y = 4 - 3 \]
\[ y = 1 \]

### Conclusion
Thus, the values of \( x \) and \( y \) are:
\[ x = 5 \quad \text{and} \quad y = 1 \]

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