To determine the property of equality displayed in step 3 of the equation solving process \( 9m + 4 - 7m = 5m + \frac{7}{3} \), we need to consider what type of operation is performed to isolate the variable.
Typically, the properties of equality are as follows:
- Addition Property of Equality: If \( a = b \), then \( a + c = b + c \).
- Subtraction Property of Equality: If \( a = b \), then \( a - c = b - c \).
- Multiplication Property of Equality: If \( a = b \), then \( ac = bc \).
- Division Property of Equality: If \( a = b \), then \( \frac{a}{c} = \frac{b}{c} \) (where \( c \neq 0 \)).
In your equation, if we assume you are combining like terms or simplifying the equation, you may be performing either the addition or subtraction property.
If we focus specifically on what was done in step 3: most likely, if the step involves moving terms from one side to another (e.g., subtracting \( 7m \) or adding some number), it would use either the Subtraction Property of Equality or the Addition Property of Equality depending on the specific operation.
Without the specific details of step 3, it’s difficult to pinpoint exactly which property is applied. However, if it involves combining terms on the left side, it likely falls under the Subtraction Property of Equality.
If you can provide what exactly occurs in step 3, I can help identify the precise property. But based on solving linear equations, a typical rearrangement would indeed likely be the Subtraction Property of Equality.
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