Math Problem Statement
just the blank asnwer
Solution
The answer for the blank space is the Multiplication Property of Equality.
Here’s why:
In the equation , to rewrite , you multiply both sides of the equation by , which transforms the equation into . The Multiplication Property of Equality allows you to multiply both sides of the equation by the same number (in this case, ) to isolate the variable.
Would you like any further explanation, or do you have any additional questions?
Here are 5 related questions to expand this:
- What is the Addition Property of Equality?
- How does the Division Property of Equality work?
- Why is isolating the variable important in solving equations?
- Can you apply the Multiplication Property of Equality with fractions?
- What are the steps to solving equations with variables on both sides?
Tip: When solving linear equations, always aim to isolate the variable step by step by applying inverse operations, such as adding, subtracting, multiplying, or dividing.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Properties of Equality
Formulas
12 - y = 16
-y = 4
y = 4
Theorems
Subtraction Property of Equality
Multiplication Property of Equality
Suitable Grade Level
Grades 6-8