I have kind of a general question... I'm working on a unit about solving systems of equations & I just feel like I've lost the general concept a little bit. When something says, "use your graphing calculator to solve the following systems of equations." They're asking me to solve for the intersection point right?
Thanks so much! :)
Right
Yes, you're correct! When you're asked to solve a system of equations using a graphing calculator, the goal is to find the point (or points) where the graphs of the two equations intersect. This point is known as the "intersection point" because it represents a solution that satisfies both equations simultaneously.
To solve a system of equations using a graphing calculator, you typically follow these steps:
1. Enter the equations into the graphing calculator: You'll need to input both equations into the calculator using the appropriate syntax. Be sure to include the variables (e.g., x and y) and any necessary mathematical symbols (e.g., +, -, *, /) when entering the equations.
2. Graph the equations: Once you've entered the equations, graph them on the coordinate plane. The calculator will plot the points based on the equations you entered.
3. Locate the intersection point(s): Look for the point(s) where the graphs of the equations intersect. These points represent the solutions to the system of equations. You can typically find them by using the "intersection" feature on your graphing calculator, which allows you to determine the coordinates of the intersection point(s).
Keep in mind that not all systems of equations will have a clear intersection point. In some cases, the graphs may not intersect at all (indicating no solution), or they may coincide perfectly (indicating infinite solutions).
I hope this helps clarify the concept for you! If you have any further questions, feel free to ask.