Question: Determine whether the statement is true or false. If the statement is false, make the necessary changes to produce a true statement. The ordered pair $(-9,9)$ satisfies the equation $5x - 3y = 10$.
Choose the correct answer below.
A. This statement is true.
B. This statement is false. The ordered pair $(-9,9)$ satisfies the equation $5x - 3y = 46$.
C. This statement is false. The ordered pair $(-9,9)$ satisfies the equation $5x - 3y = -72$.
D. This statement is false. The ordered pair $(9,-9)$ satisfies the equation $5x - 3y = 10$.
1. **State the problem:** Determine if the ordered pair $(-9,9)$ satisfies the equation $$5x - 3y = 10$$.
2. **Substitute the values:** Replace $x$ with $-9$ and $y$ with $9$ in the equation:
$$5(-9) - 3(9) = ?$$
3. **Calculate each term:**
$$5(-9) = -45$$
$$-3(9) = -27$$
4. **Add the results:**
$$-45 - 27 = -72$$
5. **Compare with the right side:**
The left side equals $$-72$$, but the right side is $$10$$.
6. **Conclusion:** Since $$-72 \neq 10$$, the ordered pair $(-9,9)$ does not satisfy the equation $$5x - 3y = 10$$.
7. **Check which statement is true:** The ordered pair $(-9,9)$ satisfies the equation $$5x - 3y = -72$$.
**Final answer:** The correct choice is C.