Questions: Question 1, 13.2.1 For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. x - y = 6 Complete the table below. x, y 6, 0 3, [square]

Question 1, 13.2.1 For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. x - y = 6 Complete the table below. x, y 6, 0 3, [square]
Transcript text: Question 1, 13.2.1 For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. \[ x-y=6 \] Complete the table below. \begin{tabular}{|c|c|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline 6 & 0 \\ \hline 3 & $\square$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Solve for y when x = 3

Given the equation \(x - y = 6\), substitute \(x = 3\) into the equation:

\[ 3 - y = 6 \]

Solving for \(y\):

\[ y = 3 - 6 = -3 \]

Step 2: Find three ordered pair solutions

We already have two ordered pairs: \((6, 0)\) and \((3, -3)\). Let's find a third ordered pair by choosing another value for \(x\), say \(x = 0\).

Substitute \(x = 0\) into the equation:

\[ 0 - y = 6 \]

Solving for \(y\):

\[ y = -6 \]

Thus, the third ordered pair is \((0, -6)\).

Final Answer

The three ordered pair solutions are \((6, 0)\), \((3, -3)\), and \((0, -6)\).

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