1. **Problem:** Determine which ordered pair satisfies the linear equation $2x - 3y = 9$.
2. **Formula and rules:** To check if an ordered pair $(x,y)$ satisfies the equation, substitute $x$ and $y$ into the equation and see if the equality holds.
3. **Check each option:**
- A. $(3, -1)$: Substitute $x=3$, $y=-1$ into $2x - 3y$:
$$2(3) - 3(-1) = 6 + 3 = 9$$
This equals 9, so A satisfies the equation.
- B. $(2,4)$:
$$2(2) - 3(4) = 4 - 12 = -8 \neq 9$$
- C. $(-1, -2)$:
$$2(-1) - 3(-2) = -2 + 6 = 4 \neq 9$$
- D. $(4,2)$:
$$2(4) - 3(2) = 8 - 6 = 2 \neq 9$$
4. **Answer:** The ordered pair that satisfies the equation is **A. (3, -1)**.
This means when $x=3$ and $y=-1$, the equation $2x - 3y = 9$ holds true.
Final answer: **A**
Linear Equation Satisfaction 619819
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