FLEENCY 1. Which of the following is the solution to the system shown below? \[ \begin{array}{l}\text { (1) } x=16 \text { and } y=8 \\ \text { (2) } x=4 \text { and } y=20 \\ \text { (3) } x=10 \text { and } y=14 \\ \text { (4) } x=2 \text { and } y=10\end{array} \]
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Mind Expander
To determine which pair of \(x\) and \(y\) is the solution to the system, we need to substitute each option into the equations of the system. Each option will yield different results when substituted, revealing the correct pair that satisfies both equations. Let's say the equations in your system are linear, perhaps like \(2x + 3y = 80\) and \(x - y = 6\). By plugging in each pair: 1. For (1): \(x=16\) and \(y=8\) 2. For (2): \(x=4\) and \(y=20\) 3. For (3): \(x=10\) and \(y=14\) 4. For (4): \(x=2\) and \(y=10\) Carefully check denoting whether each pair holds true for both equations - the one that does is your answer! So, systematically checking and ensuring you understand substitutions will help in quickly solving similar math problems with ease!