Question

When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?

Original Equation:
-2-2x+4=5

First Step:
-2x-2+4=5

Answer 1

The property that justifies Gabrielle's first step is the addition or subtraction property of equality.

Step-by-step explanation:

A math equation is a concise representation of a mathematical relationship or statement using symbols, numbers, and mathematical operations. It typically consists of an equality sign, expressing that the expressions on both sides of the equation are equal. Equations are fundamental tools for solving problems and modeling mathematical relationships.

The property that justifies Gabrielle's first step is the addition or subtraction property of equality. This property states that you can add or subtract the same number to both sides of an equation without changing its solutions. In this case, Gabrielle subtracted 2x from both sides to isolate the variable on one side of the equation.