QQuestionMathematics
QuestionMathematics
"Select the action you would use to solve 4x= 16. Then select the property that justifies that action.
A. Action: Divide both sides by 4.
B. Property: Multiplication property of equality.
C. Action: Multiply both sides by 4.
D. Property: Division property of equality.
E. Property: Addition property of equality.
F. Action: Add 4 to both sides."
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Analyze the equation
The equation is $$4x = 16
Step 3:: Determine the goal
We want to isolate $$x$$ on one side of the equation.
Step 4:: Choose the appropriate action
To isolate $$x$$, we need to divide both sides by 4.
Step 5:: Verify the justification
The action of dividing both sides by 4 is justified by the Division Property of Equality.
Step 6:: Solve the equation
\frac{4x}{4} = \frac{16}{4}
x = 4
Final Answer
The correct combination is: - Action: Divide both sides by 4 - Property: Division property of equality This corresponds to option D in the given choices. Explanation: - Dividing both sides by 4 allows us to isolate x - The division property of equality states that if a = b, then \frac{a}{c} = \frac{b}{c} for any non-zero c - This ensures that the equation remains balanced while solving for the variable
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