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How many solutions does the system of equations below have?\newliney=8x−8y = 8x - 8\newliney=73x+87y = \frac{7}{3}x + \frac{8}{7}\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Q. How many solutions does the system of equations below have?\newliney=8x−8y = 8x - 8\newliney=73x+87y = \frac{7}{3}x + \frac{8}{7}\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze Slopes: Analyze the slopes of both equations.\newlineThe slope of the first equation y=8x−8y = 8x − 8 is 88.\newlineThe slope of the second equation y=73x+87y = \frac{7}{3}x + \frac{8}{7} is 73\frac{7}{3}.\newlineSince the slopes are different 8≠738 \neq \frac{7}{3}, the lines are not parallel.
  2. Determine Intersection: Determine if the lines intersect.\newlineSince the slopes are different, the lines must intersect at exactly one point.\newlineTherefore, there is one solution to the system of equations.

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