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8x + y = –17
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Answered by
GPT-4o mini
The equation you've provided is a linear equation in two variables, \( x \) and \( y \). You can interpret it in several ways depending on what you want to do with it (e.g., find \( y \) in terms of \( x \), graph it, etc.). Here’s how you can manipulate the equation:
1. **Solve for \( y \) in terms of \( x \)**:
\[
y = -17 - 8x
\]
2. **Find \( x \) in terms of \( y \)**:
\[
8x = -17 - y
\]
\[
x = \frac{-17 - y}{8}
\]
3. **Graphing**: If you want to graph the equation, you can plot the line by finding a few key points. For example:
- When \( x = 0 \):
\[
y = -17
\]
(Point: \( (0, -17) \))
- When \( y = 0 \):
\[
0 = -17 - 8x \implies 8x = -17 \implies x = -\frac{17}{8} \approx -2.125
\]
(Point: \( \left( -\frac{17}{8}, 0 \right) \))
You can draw a line through these points to represent the equation graphically. If you have a specific request regarding the equation, let me know!
1. **Solve for \( y \) in terms of \( x \)**:
\[
y = -17 - 8x
\]
2. **Find \( x \) in terms of \( y \)**:
\[
8x = -17 - y
\]
\[
x = \frac{-17 - y}{8}
\]
3. **Graphing**: If you want to graph the equation, you can plot the line by finding a few key points. For example:
- When \( x = 0 \):
\[
y = -17
\]
(Point: \( (0, -17) \))
- When \( y = 0 \):
\[
0 = -17 - 8x \implies 8x = -17 \implies x = -\frac{17}{8} \approx -2.125
\]
(Point: \( \left( -\frac{17}{8}, 0 \right) \))
You can draw a line through these points to represent the equation graphically. If you have a specific request regarding the equation, let me know!
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