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How many solutions does the system of equations below have?\newliney=7x−9y = 7x - 9\newliney=710x+95y = \frac{7}{10}x + \frac{9}{5}\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=7x−9y = 7x - 9\newliney=710x+95y = \frac{7}{10}x + \frac{9}{5}\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=7x−9y = 7x − 9 is 77.\newlineThe slope of the second equation y=710x+95y = \frac{7}{10}x + \frac{9}{5} is 710\frac{7}{10}.\newlineSince the slopes are different, the lines are not parallel.
  2. Determine intersection point: Since the slopes are different, the lines will intersect at exactly one point. This means there is one unique solution to the system of equations.

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