Final answer:
To solve a system by graphing, you need to know the specific system equations. Graph each equation and identify the intersection point(s), which is where the solution lies. Check the solution by plugging the intersection point into the original equations.
Step-by-step explanation:
To solve a system by graphing, first, identify the equations that make up the system. If the student does not provide the specific equations to be solved, request for them as it is crucial information needed to proceed with the solution.
Once the equations are known, you can follow these steps:
- Decide which variable will be the dependent variable and which will be the independent variable.
- Draw a coordinate system, and graph each equation on the same set of axes. Use different styles of lines for each equation to avoid confusion.
- Look for the point(s) where the lines intersect. This point represents the solution to the system since it satisfies both equations.
- Check your solution by substituting the coordinates of the intersection point back into the original equations.
If the lines intersect at a single point, the system has a unique solution. If the lines coincide, the system has infinitely many solutions. If the lines are parallel and do not intersect, the system has no solution.
Without the actual system equations, it is impossible to provide a specific solution.