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How many solutions does the system of equations below have?\newliney=−5x+4y = -5x + 4\newliney=−5x+52y = -5x + \frac{5}{2}\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=−5x+4y = -5x + 4\newliney=−5x+52y = -5x + \frac{5}{2}\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Compare slopes and y-intercepts: Compare the slopes and y-intercepts of the two equations y=−5x+4y = -5x + 4 and y=−5x+52y = -5x + \frac{5}{2}.
  2. Determine number of solutions: Determine the number of solutions for the system based on the analysis of slopes and yy-intercepts.

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