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How many solutions does the system of equations below have?\newliney=8x−7y = 8x - 7\newliney=78x+29y = \frac{7}{8}x + \frac{2}{9}\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−7y = 8x - 7\newliney=78x+29y = \frac{7}{8}x + \frac{2}{9}\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Identify slopes: Identify the slopes of each equation to determine if they are parallel.\newlineEquation 11: y=8x−7y = 8x - 7, slope = 88.\newlineEquation 22: y=78x+29y = \frac{7}{8}x + \frac{2}{9}, slope = 78\frac{7}{8}.\newlineSince the slopes are different, the lines are not parallel.
  2. Determine parallel lines: Since the slopes are different, the lines must intersect at exactly one point. This means there is one solution to the system of equations.

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