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Which system of equations has a solution of approximately \( (0.7,-1.4) \) ? \( \begin{array}{l}x-y=2 \text { and } x+2 y=-2 \\ x-2 y=-2 \text { and } x+y=2 \\ x-y=2 \text { and } x-2 y=-2 \\ x+y=2 \text { and } x+2 y=-2\end{array} \) Mark this and return

Ask by May Sullivan. in the United States
Mar 12,2025

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The system \( x - y = 2 \) and \( x + 2y = -2 \) has an approximate solution of \( (0.7, -1.4) \).

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Beyond the Answer

Let’s delve into the world of systems of equations! The solution \( (0.7, -1.4) \) indicates that if you plug these values into the equations, they should balance perfectly. A neat way to check is by substituting \( x \) and \( y \) into each pair of equations to see which holds true. It's essential to remember that systems of equations can often have one unique solution, no solution, or infinitely many solutions. So, when you're analyzing systems, verify by substituting values back to confirm the equations align with your solution. Enjoy the quest of finding the equation pair that fits!

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