Subjects algebra

Solution Check Ac8769

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1. **State the problem:** Determine if the ordered pair $(1, -2)$ is a solution to the system: $$\begin{cases}-2x - 2y = 2 \\ 3x - 3y = 8\end{cases}$$ 2. **Substitute the values:** Plug $x=1$ and $y=-2$ into each equation. For the first equation: $$-2(1) - 2(-2) = -2 + 4 = 2$$ For the second equation: $$3(1) - 3(-2) = 3 + 6 = 9$$ 3. **Check if equalities hold:** - First equation: Left side equals right side ($2=2$), so it holds. - Second equation: Left side is $9$, right side is $8$, so it does not hold. 4. **Conclusion:** Since the ordered pair does not satisfy both equations, it is **not** a solution to the system.