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Students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.
Students are prompted to graph three different linear systems on three different screens and state how many solutions each have. This introduces all the possible numbers of solutions and connects them to the graphs of the systems. Help students connect what they see in the graphs with their experiences solving systems by asking them to find the points that represent solutions and write their coordinates.
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