does the graph show the system of equations X plus Y equals two and negative X plus Y equals seven should the lines for the system be parallel

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Yes, the graph shows the system of equations X + Y = 2 and -X + Y = 7. The lines for the system are not parallel because their slopes are different. The first equation has a slope of -1, while the second equation has a slope of 1. Therefore, the lines intersect at a single point.
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