QuestionThe equation is solved in several steps below. For each step, choose the reason that best justifies it. \begin{tabular}{|c|l|} \hline Step & Reason \\ \hline & Given equation \\ \hline & "Choose one" \\ \hline & "Choose one" \\ \hline & \begin{tabular}{l} Sddition Property of Equality \\ Subtraction Property of Equality \\ Multiplication Property of Equality \\ Division Property of Equality \\ Simplifying \end{tabular} \\ \hline & \begin{tabular}{l} Distributive Property \end{tabular} \\ \hline \end{tabular}
Studdy Solution
STEP 1
1. We are solving the equation .
2. Each step of the solution process requires a justification based on algebraic properties.
3. We need to identify the correct algebraic property for each step.
STEP 2
1. Justify the division step.
2. Justify the simplification step.
3. Justify the addition step.
STEP 3
The step involves dividing both sides of the equation by . This is justified by the:
Division Property of Equality
This property states that dividing both sides of an equation by the same non-zero number does not change the equality.
STEP 4
The step is the result of simplifying the previous step. This is justified by:
Simplifying
This involves performing the division on both sides to reduce the equation to a simpler form.
STEP 5
The step involves adding to both sides of the equation. This is justified by the:
Addition Property of Equality
This property states that adding the same number to both sides of an equation does not change the equality.
The correct justifications for each step are:
- Division Property of Equality
- Simplifying
- Addition Property of Equality
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