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The text explores whether the point (-1, 7) is a solution for the system of linear equations, and emphasizes that for it to be a solution, it must satisfy both equations. The first equation is x + 2y = 13, while the second equation is 3x - y = -11. To determine if (-1, 7) is a solution, we substitute x = -1 and y = 7 into both equations and solve for each. The video illustrates this process and concludes by confirming that (-1, 7) is indeed a solution for the system of linear equations provided.