Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 16, 2023

Gabrielle is solving an equation. Which property justifies her first step: $3x = 1$ ?

STEP 1

Assumptions1. The original equation is $3x +1 =$ . The first step is $3x =1$
3. Gabrielle's first step involves subtracting1 from both sides of the equation

STEP 2

The first step involves subtracting1 from both sides of the equation. This can be written as $x +1 -1 =2 -1$

STEP 3

implify the equation to get Gabrielle's first step $3x =1$

STEP 4

The property that justifies this step is the subtraction property of equality. This property states that if you subtract the same number from both sides of an equation, the equation remains equal. In this case, Gabrielle subtracted1 from both sides of the equation.
The answer is the subtraction property of equality.

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