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### Shared Solutions

As Figure 11.1 illustrates, when two or more equations can generate the same sets of ordered pairs, they form a system of equations. When you solve a system of equations, you find sets of values that both equations generate. You can approach solving systems of equations in various ways. One way is to generate ordered pairs, and then compare the ordered pairs to determine if any are the same for both equations. Another approach involves generating graphs for the equations that you plot on one Cartesian coordinate plane and then compare. If you are working with linear equations, the point at which the lines intersect constitutes a solution for the system of equations.

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