How to Create a Linear System on a Graphing Calculator

Linear systems are used to solve a variety of engineering problems. Creating a linear system on a graphing calculator requires entering at least two linear equations (equations of a line), into the calculator. Once entered, the graphing calculator is used to plot the lines and determine the linear system's solution set, the point(s) where the lines intersect.



You can use an online graphing calculator to create a linear system. Or you can use a stand-alone graphing calculator such as a TI-83. If don't have a graphing calculator, you can use a free online calculator.

Things You'll Need

  • Internet connection
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Instructions

  1. Doing the Math

    • 1

      Check if the online calculator has more than one equation text box for you to enter two or more line equations (linear equations). Examine the text boxes, list boxes and buttons on the calculators for special features, such as zoom or pan, or required entries, like the minimum and maximum range (sometimes required to specify the graphing region of interest for the linear system).

    • 2

      Write down the first linear equation in your linear system. Use the linear equation, y = 2x + 1, as the first equation for this example. Write down the second linear equation for your linear system. Use the linear equation, y = x + 2, as the second linear equation for this example. Note that these two equations produce a value of 3 for y when x is set to 1. Write down that the solution for this linear system, that is the point of intersection of the two lines, is the point (1, 3)

    • 3

      Position your mouse cursor in the first equation text box on the graphing calculator. Type in the first linear equation, 2x + 1, in this text box. Press the "2" key, the times key, "*", (which is entered by holding the shift key down and pressing the 8 key), the "x" key, the "+" key and finally the "1" key on your keyboard to enter this equation.

    • 4

      Position your mouse cursor in the second equation text box. Use the "x" key, the "+" key and the "1" key to enter the second equation, x + 1, into the second equation text box

    • 5

      Press the "Plot", "Graph", or "Calculator" button on your graphing calculator to graph the two line equations you entered. Inspect the graph generated and determine the location where the two lines that are graphed intersect. Verify that this point is the point (1, 3).

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