If -5x – 1 = -11, then -5x = -10.
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1 point
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Substitution Property
Reflexive Property
Symmetric Property
Transitive Property
Subtraction Property of Equality
The correct answer is *Subtraction Property of Equality*.
To solve the equation -5x - 1 = -11, you need to isolate the variable x. Let's go through the steps to find the right property used in each step.
Step 1: Subtract 1 from both sides of the equation.
This step is an application of the Subtraction Property of Equality. It states that if you subtract the same number from both sides of an equation, the equality is maintained.
-5x - 1 - 1 = -11 - 1
-5x = -10
Step 2: Simplify the equation.
-5x = -10
The property used in this step is the Symmetric Property. It states that if a = b, then b = a. In this case, we rearranged the equation to have -10 on the right side.
Therefore, the correct answer is the Symmetric Property.