Questions: Subtract. Use models if needed. (-4 x+7)-(5 x-9) -9 x+16 -9 x-2 x+16 x-2

Subtract. Use models if needed. (-4 x+7)-(5 x-9) -9 x+16 -9 x-2 x+16 x-2
Transcript text: Subtract. Use models if needed. \[ (-4 x+7)-(5 x-9) \] $-9 x+16$ $-9 x-2$ $x+16$ $x-2$
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Solution

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Solution Steps

Step 1: Distribute the negative sign

Distribute the negative sign to the terms inside the second parentheses: \[ (-4x + 7) - (5x - 9) = -4x + 7 - 5x + 9 \]

Step 2: Combine like terms

Combine the \( x \)-terms and the constant terms: \[ -4x - 5x + 7 + 9 = -9x + 16 \]

Step 3: Identify the correct answer

The simplified expression is \( -9x + 16 \), which corresponds to the first option.

Final Answer

\(\boxed{-9x + 16}\)

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