Question: Which ordered pair is a solution of the equation
$-7x + 3y = 2$
Choose 1 answer:
A Only $(1, 3)$
B Only $(-2, -4)$
C Both $(1, 3)$ and $(-2, -4)$
D Neither
1. **State the problem:** Determine which ordered pair(s) satisfy the equation $$-7x + 3y = 2$$.
2. **Recall the rule:** To check if an ordered pair $(x,y)$ is a solution, substitute $x$ and $y$ into the equation and see if the equality holds.
3. **Check $(1,3)$:** Substitute $x=1$, $y=3$:
$$-7(1) + 3(3) = -7 + 9 = 2$$
This matches the right side, so $(1,3)$ is a solution.
4. **Check $(-2,-4)$:** Substitute $x=-2$, $y=-4$:
$$-7(-2) + 3(-4) = 14 - 12 = 2$$
This also matches the right side, so $(-2,-4)$ is a solution.
5. **Conclusion:** Both ordered pairs satisfy the equation.
**Final answer:** C Both $(1, 3)$ and $(-2, -4)$