Answer:
- Additive Inverse Property: This property allows us to subtract the same number from both sides of the equation, which helps in isolating the variable.
- Addition Property of Equality: This property allows us to perform the same operation on both sides of the equation without changing the equality.
Explanation:
1. Start with the equation: 5 + x = 13.
2. Use the additive inverse property to get rid of the 5 on the left side of the equation. This property states that if you add a number and its additive inverse (opposite), the result is always zero. So, we subtract 5 from both sides of the equation:
5 + x + (-5) = 13 + (-5).
3. Simplify both sides of the equation:
5 + (-5) + x = 8.
The sum of 5 and its additive inverse (-5) is 0, so we're left with x = 8.
4. Therefore, the solution to the equation 5 + x = 13 is x = 8.