Question
What property of equality is displayed in step 3 in solving of 9M + 4 - 7M = 5 m + 7/3
Answers
GPT-4o mini
To determine the property of equality being used in step 3 when solving the equation \( 9M + 4 - 7M = 5M + \frac{7}{3} \), we need to look at a typical step that combines like terms or adds/subtracts quantities from both sides of the equation.
Assuming that step 3 involves either combining like terms or isolating the variable, it would usually employ the **Addition Property of Equality** or the **Subtraction Property of Equality**.
1. **Addition Property of Equality** states that if you add the same number to both sides of an equation, the two sides remain equal.
2. **Subtraction Property of Equality** states that if you subtract the same number from both sides of an equation, the two sides remain equal.
For example, if in step 3 you combined \( 9M - 7M \) on the left side, leading to a simpler form like \( 2M + 4 = 5M + \frac{7}{3} \), the property being applied would be the simplification of an expression, which doesn't explicitly invoke one of the properties. Alternatively, subtracting \( 5M \) from both sides would illustrate the **Subtraction Property of Equality**.
In the absence of the specific detail of the step you're referring to, the answer remains somewhat general. Please provide additional context or specifics on step 3 for a more accurate identification!
Assuming that step 3 involves either combining like terms or isolating the variable, it would usually employ the **Addition Property of Equality** or the **Subtraction Property of Equality**.
1. **Addition Property of Equality** states that if you add the same number to both sides of an equation, the two sides remain equal.
2. **Subtraction Property of Equality** states that if you subtract the same number from both sides of an equation, the two sides remain equal.
For example, if in step 3 you combined \( 9M - 7M \) on the left side, leading to a simpler form like \( 2M + 4 = 5M + \frac{7}{3} \), the property being applied would be the simplification of an expression, which doesn't explicitly invoke one of the properties. Alternatively, subtracting \( 5M \) from both sides would illustrate the **Subtraction Property of Equality**.
In the absence of the specific detail of the step you're referring to, the answer remains somewhat general. Please provide additional context or specifics on step 3 for a more accurate identification!