Subtract `3x+2y-z` from `4x-5y+3z`

Answer

To solve the problem of subtracting \(3x + 2y - z\) from \(4x - 5y + 3z\), we can follow these steps:

### Step-by-Step Solution:

1. **Write the expression to be subtracted**: We start with the expression we need to subtract, which is \(3x + 2y - z\).

2. **Set up the subtraction**: We need to subtract \(3x + 2y - z\) from \(4x - 5y + 3z\). This can be written as:
\[ (4x - 5y + 3z) - (3x + 2y - z) \]

3. **Distribute the negative sign**: When we subtract the second expression, we need to distribute the negative sign across all terms in \(3x + 2y - z\):
\[ 4x - 5y + 3z - 3x - 2y + z \]

4. **Combine like terms**: Now we will combine the like terms:
- For \(x\) terms: \(4x - 3x = 1x\) or simply \(x\)
- For \(y\) terms: \(-5y - 2y = -7y\)
- For \(z\) terms: \(3z + z = 4z\)

5. **Write the final expression**: After combining all the like terms, we get:
\[ x - 7y + 4z \]

### Final Answer:
Thus, the result of subtracting \(3x + 2y - z\) from \(4x - 5y + 3z\) is:
\[ x - 7y + 4z \]

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