Subjects algebra

Linear Equation Satisfaction 619819

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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**