Question

Jenna manipulated the equation 4x+7=10 by adding -7 to both sides. Which of the following properties justifies this manipulation?1. The associative property of addition.2. The addition property of equality.3. The commutative property of addition.4. The multiplication property of equality.

Answer 1

2. The addition property of equality.

Explanation

Step 1

$\begin{gathered} 4x+7=10 \\ \text{Jenna added -7 ( or subtract 7) to both sides, so} \\ 4x+7-7=10-7 \\ 4x=3 \end{gathered}$

she applied the addition property for inequalities. it states that if an inequality exists, adding or subtracting the same number on both sides does not change the inequality.

so, the answer is

2. The addition property of equality.