Question
what property justifies step 4
5x - 6 + 6 = 19 + 6
5x - 6 + 6 = 19 + 6
Answers
GPT-4o mini
To justify step 4 in the equation \( 5x - 6 + 6 = 19 + 6 \), you can cite the **Addition Property of Equality**.
The Addition Property of Equality states that if you add the same quantity to both sides of an equation, the two sides remain equal. In this case, you added 6 to both sides of the equation:
- The left side: \( 5x - 6 + 6 \) simplifies to \( 5x \)
- The right side: \( 19 + 6 \) simplifies to \( 25 \)
Thus, you can state:
"By the Addition Property of Equality, adding 6 to both sides of the equation maintains the equality."
The Addition Property of Equality states that if you add the same quantity to both sides of an equation, the two sides remain equal. In this case, you added 6 to both sides of the equation:
- The left side: \( 5x - 6 + 6 \) simplifies to \( 5x \)
- The right side: \( 19 + 6 \) simplifies to \( 25 \)
Thus, you can state:
"By the Addition Property of Equality, adding 6 to both sides of the equation maintains the equality."