Question
How do you use the graphing calculator to solve a system of equations?(1 point) Responses The solution to the system of equations is every point on the second line. The solution to the system of equations is every point on the second line. The solution to the system of equations is every point on the first line. The solution to the system of equations is every point on the first line. The solution to the system of equations can be found where the two lines intersect. The solution to the system of equations can be found where the two lines intersect. The graphing calculator cannot be used to find the solution to a system of equations. The graphing calculator cannot be used to find the solution to a system of equations.
Answers
GPT-4o mini
To solve a system of equations using a graphing calculator, you should plot both equations on the same graph. The solution to the system of equations is where the two lines intersect. This point of intersection represents the values of the variables that satisfy both equations simultaneously.
To summarize your options:
- **The solution to the system of equations can be found where the two lines intersect.** (This is the correct response.)
The other responses reference scenarios that don't apply to systems of linear equations unless the lines are the same (which implies infinitely many solutions on that line) or parallel (which implies no solution). The graphing calculator is indeed a valuable tool for finding solutions to systems of equations.
To summarize your options:
- **The solution to the system of equations can be found where the two lines intersect.** (This is the correct response.)
The other responses reference scenarios that don't apply to systems of linear equations unless the lines are the same (which implies infinitely many solutions on that line) or parallel (which implies no solution). The graphing calculator is indeed a valuable tool for finding solutions to systems of equations.