Question

Question
Question 5

What property of equality is displayed in step 3 in the solving of 9m+4−7m= 5m+73
?



(1 point)
Responses

Multiplication Property of Equality
Multiplication Property of Equality

Division Property of Equality
Division Property of Equality

Addition Property of Equality
Addition Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality
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Answer 1

To determine which property of equality is displayed in step 3 while solving the equation \( 9m + 4 - 7m = 5m + 73 \), we need to first interpret what step 3 might involve in the context of solving this equation.

Let's break down the initial equation:

1. Combine like terms on the left side:
\[
(9m - 7m) + 4 = 5m + 73 \implies 2m + 4 = 5m + 73
\]

2. Now, isolate the variable \( m \). If step 3 involves moving \( 5m \) to the left side or \( 4 \) to the right side, we would either be subtracting \( 5m \) from both sides or subtracting \( 4 \) from both sides.

If we take, for example, trying to isolate \( m \) by subtracting \( 5m \):
\[
2m + 4 - 5m = 73 \implies -3m + 4 = 73
\]
This would showcase the **Subtraction Property of Equality**, since we subtracted \( 5m \) from both sides.

If instead, we were to subtract \( 4 \) from both sides to further simplify, we would use the same **Subtraction Property of Equality**.

So depending on what exactly step 3 does (whether it’s moving terms from one side to another), the property exhibited is the **Subtraction Property of Equality**.

Therefore, if step 3 involves subtracting a term from both sides, then the answer is:

**Subtraction Property of Equality**