If `(a-1, b+4)= (2,3)`, then a and b are

Options

A. a=3, b=-1
B. a=2, b=3
C. a=0, b= 4
D. None of these

Answer

To solve the equation \((a-1, b+4) = (2, 3)\), we can break it down into two separate equations based on the coordinates.

### Step 1: Set up the equations
From the equation \((a-1, b+4) = (2, 3)\), we can equate the corresponding components:
1. \(a - 1 = 2\)
2. \(b + 4 = 3\)

### Step 2: Solve for \(a\)
Now, let's solve the first equation for \(a\):
\[ a - 1 = 2 \]
To isolate \(a\), we add 1 to both sides:
\[ a = 2 + 1 \]
\[ a = 3 \]

### Step 3: Solve for \(b\)
Next, we solve the second equation for \(b\):
\[ b + 4 = 3 \]
To isolate \(b\), we subtract 4 from both sides:
\[ b = 3 - 4 \]
\[ b = -1 \]

### Final Solution
Thus, the values of \(a\) and \(b\) are:
\[ a = 3, \quad b = -1 \]