Question

The following is a step by step solution to the "one step" equation 5 + x = 13. Next to each phrase "Property:" drag and drop the properties to match their correct steps.​

Answer 1

- 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.