** Hour 17**

** Solving Systems of Equations: Three Methods**

**T**he world of two-variable equations that you entered in Hour 15 opens up possibilities of solving problems about direct and inverse variation, as well as being an efficient way to solve many problems that until now were limited to a single variable. This hour you’ll see how to use your graphing skills to find any solutions that two equations may have in common. You’ll also learn two algebraic methods that are very efficient alternatives to graphing. Let’s begin with the graphing method.

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** Using Graphs to Solve a System of Equations**

The equation *y* = 4*x* - 2 is graphed in the following figure and labeled line A. A second equation, *y* = -2*x* + 4, is also graphed on the same set of axes and labeled ...