Answer:
I can describe how to graph a system of linear equations. Let's take the example system:
1. \(x + 2y = 5\)
2. \(3x + y = 5\)
To graph these equations:
1. **Graph the first equation (\(x + 2y = 5)\):**
- Choose values for \(x\) and calculate corresponding \(y\) values.
- Plot points and draw a line through them.
2. **Graph the second equation (\(3x + y = 5)\):**
3. **Intersection point:**
- The solution to the system is the point where the two lines intersect. This point is the solution to both equations.
If the lines are parallel and don't intersect, the system has no solution. If the lines overlap, there are infinitely many solutions.
Remember, each equation represents a line on the graph, and their intersection (if it exists) is the solution to the system.
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Answers & Comments
Answer:
I can describe how to graph a system of linear equations. Let's take the example system:
1. \(x + 2y = 5\)
2. \(3x + y = 5\)
To graph these equations:
1. **Graph the first equation (\(x + 2y = 5)\):**
- Choose values for \(x\) and calculate corresponding \(y\) values.
- Plot points and draw a line through them.
2. **Graph the second equation (\(3x + y = 5)\):**
- Choose values for \(x\) and calculate corresponding \(y\) values.
- Plot points and draw a line through them.
3. **Intersection point:**
- The solution to the system is the point where the two lines intersect. This point is the solution to both equations.
If the lines are parallel and don't intersect, the system has no solution. If the lines overlap, there are infinitely many solutions.
Remember, each equation represents a line on the graph, and their intersection (if it exists) is the solution to the system.