Questions: Practice Problem 1. Graph the linear equation. 3x - y = 2 x y ------ 0 1 2

Practice Problem 1. Graph the linear equation. 3x - y = 2 x y ------ 0 1 2
Transcript text: Practice Problem 1. Graph the linear equation. \[ 3 x-y=2 \] \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Solve for \( y \) in terms of \( x \)

Given the equation: \[ 3x - y = 2 \] Solve for \( y \): \[ y = 3x - 2 \]

Step 2: Calculate \( y \) for given \( x \) values

For \( x = 0 \): \[ y = 3(0) - 2 = -2 \]

For \( x = 1 \): \[ y = 3(1) - 2 = 1 \]

For \( x = 2 \): \[ y = 3(2) - 2 = 4 \]

Final Answer

\[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & -2 \\ \hline 1 & 1 \\ \hline 2 & 4 \\ \hline \end{array} \]

{"axisType": 3, "coordSystem": {"xmin": -1, "xmax": 3, "ymin": -3, "ymax": 5}, "commands": ["y = 3x - 2"], "latex_expressions": ["$y = 3x - 2$"]}

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