Question

question 2 lesson 5-3 · practice find the additive inverse of -9x + 3.

Explanation:

Step1: Recall additive inverse definition

The additive inverse of a number (or expression) \( a \) is a number (or expression) \( b \) such that \( a + b = 0 \). For an expression \( ax + b \), its additive inverse will be \( -ax - b \) because \( (ax + b)+(-ax - b)=0 \).

Step2: Apply to given expression

Given the expression \( -9x + 3 \), let its additive inverse be \( y \). Then \( (-9x + 3)+y = 0 \). Solving for \( y \), we get \( y= -(-9x + 3)=9x - 3 \).

Answer:

The additive inverse of \( -9x + 3 \) is \( 9x - 3 \).