How to Solve Algebra Equations with a Calculator
Calculators are powerful tools for both simple and complex calculations. With a small amount of algebraic preparation, any equation can be modeled--and potentially solved--with a calculator. Graphing calculators are ideal for such tasks, as their functions go far beyond mere calculation.
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Instructions
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Write your equation so that it is expressed in terms of one variable. For example, if your equation is 5x + 4y = 16, isolate y:
4y = -5x + 16
y = -5x/4 + 4 -
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Enter the resulting equation into your calculator's equation table. For example, on a TI-83, press the "y=" button and enter in the equation.
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Graph the equation on the calculator. On a TI-83, for example, press the "graph" button. The resulting line is a collection of points that represent the corresponding y-values for any x-value, and vice versa. Tracing this line allows you to solve the equation for any known value of x or y. This can be done on a TI-83, for example, by pressing the "trace" button. The solutions at any point will be displayed on the screen as you move through the graph.
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Isolate a second equation in the same way, if desired.
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Graph both equations. The point of intersection on these lines represents the x and y values that solve the system of equations. This point can be precisely known by using your calculator's function computations. For example, on a TI-83, use the "calc" menu (2nd + "trace") and select the "Intersect" option.
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