I need help with this problem because I do not have a graphing calculator.
Explain how you would solve this equation using your graphing calculator in five steps then give the solution.
2x- 3y=8
5x+ 4y= 11
To solve the system of equations using a graphing calculator, follow these five steps:
Step 1: Enter the equations into the calculator:
On your graphing calculator, go to the equation mode or function mode. Enter the first equation, "2x - 3y = 8", and press the Enter key. Then enter the second equation, "5x + 4y = 11", and press the Enter key.
Step 2: Graph the equations:
After entering the equations, go to the graphing mode and plot the equations on the coordinate plane. The calculator will display the graphs of both equations.
Step 3: Find the point of intersection:
Locate the point where the two graphs intersect. This point represents the solution of the system of equations. You can use the trace or intersection feature on your calculator to find the exact coordinates of the point of intersection.
Step 4: Record the coordinates of the intersection point:
Once you have found the point of intersection, record the x and y coordinates of that point. These coordinates represent the solution to the system of equations.
Step 5: Write down the solution:
Finally, write down the solution of the system of equations by displaying the x and y coordinates you found in the previous step. For example, if the point of intersection is (2, 1), then the solution is x = 2 and y = 1.
Taking the above steps, the solution to the system of equations 2x - 3y = 8 and 5x + 4y = 11 can be found using a graphing calculator.