Given: `a+ib=2-3i`, find 'a' and 'b'.

Answer

To solve the problem where \( a + ib = 2 - 3i \), we need to find the values of \( a \) and \( b \).

### Step-by-Step Solution:

1. **Identify the given complex number**:
We have \( a + ib = 2 - 3i \).

2. **Separate the real and imaginary parts**:
In the expression \( a + ib \):
- The real part is \( a \).
- The imaginary part is \( b \).

In the expression \( 2 - 3i \):
- The real part is \( 2 \).
- The imaginary part is \( -3 \).

3. **Set up equations based on the equality of real and imaginary parts**:
Since the two complex numbers are equal, we can equate their real parts and their imaginary parts:
- From the real parts: \( a = 2 \)
- From the imaginary parts: \( b = -3 \)

4. **Write the final values**:
Therefore, we have:
- \( a = 2 \)
- \( b = -3 \)

### Final Answer:
- \( a = 2 \)
- \( b = -3 \)