Final answer:
To solve the equation X - 7 = 17, we add 7 to both sides, resulting in X = 24. We then check by substituting X with 24 into the original equation, confirming that the solution is correct as it simplifies back to 17.
Step-by-step explanation:
We are tasked with solving the equation X - 7 = 17 using the addition property of equality. To solve for X, we need to isolate the variable on one side of the equation. We can do this by adding 7 to both sides of the equation, which will eliminate the -7 next to X.
Here's the step-by-step process:
1. Start with X - 7 = 17.
2. Add 7 to both sides of the equation: (X - 7) + 7 = 17 + 7.
3. Simplify both sides: X = 24.
Now, we should check our answer to ensure that it is reasonable.
To check the solution, substitute X with 24 in the original equation: 24 - 7. This simplifies to 17, which matches the right side of the equation, confirming that our solution X = 24 is correct.