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= 3 Complete the table below. tics

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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### Solving Linear Equations and Graphing

**Objective:**
For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. 

#### Equation:
\[ x - y = 3 \]

#### Instructions:
Complete the table below to identify three ordered pairs \((x, y)\) that satisfy the given equation.

| x | y |
|---|---|
| 0 |   |

#### Steps:

1. **Complete the Table:**
   - Plug in different values for \(x\) to solve for \(y\) using the equation \(x - y = 3\). 
   - Example: For \(x = 0\), substituting \(x\) into the equation yields: 
     \[ 0 - y = 3 \]
     \[ -y = 3 \]
     \[ y = -3 \]
   - So, the first ordered pair is (0, -3).

2. **Input Values & Graph:**
   - Use the ordered pairs to plot points on the graph.
   - Select two pairs and draw a straight line through the points to form the graph of the equation.

#### Graph Description:
To the right of the instructions and the table is a coordinate grid for plotting the solutions. 

- The graph includes an \(x\)-axis (horizontal) and \(y\)-axis (vertical), each marked with 1-unit increments.
- The axes range from -10 to 10 on both axes.
- Use this grid to plot the derived ordered pairs and draw the line representing the equation.

**Remaining Actions:**
- Ensure to complete three ordered pair solutions.
- After plotting, proceed to check your answers and confirm the accuracy of the plotted graph. Use the "Check Answer" button.

3 parts remaining.
Transcribed Image Text:### Solving Linear Equations and Graphing **Objective:** For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. #### Equation: \[ x - y = 3 \] #### Instructions: Complete the table below to identify three ordered pairs \((x, y)\) that satisfy the given equation. | x | y | |---|---| | 0 | | #### Steps: 1. **Complete the Table:** - Plug in different values for \(x\) to solve for \(y\) using the equation \(x - y = 3\). - Example: For \(x = 0\), substituting \(x\) into the equation yields: \[ 0 - y = 3 \] \[ -y = 3 \] \[ y = -3 \] - So, the first ordered pair is (0, -3). 2. **Input Values & Graph:** - Use the ordered pairs to plot points on the graph. - Select two pairs and draw a straight line through the points to form the graph of the equation. #### Graph Description: To the right of the instructions and the table is a coordinate grid for plotting the solutions. - The graph includes an \(x\)-axis (horizontal) and \(y\)-axis (vertical), each marked with 1-unit increments. - The axes range from -10 to 10 on both axes. - Use this grid to plot the derived ordered pairs and draw the line representing the equation. **Remaining Actions:** - Ensure to complete three ordered pair solutions. - After plotting, proceed to check your answers and confirm the accuracy of the plotted graph. Use the "Check Answer" button. 3 parts remaining.
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