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How many solutions does the system of equations below have?\newliney=−7x+54y = -7x + \frac{5}{4}\newliney=−7x+54y = -7x + \frac{5}{4}\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+54y = -7x + \frac{5}{4}\newliney=−7x+54y = -7x + \frac{5}{4}\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze slopes: Step 11: Analyze the slopes of both equations.\newlineBoth equations are y=−7x+54y = -7x + \frac{5}{4}. The slope (m)(m) for both is −7-7.
  2. Compare y-intercepts: Step 22: Compare the y-intercepts of both equations.\newlineBoth equations have the same y-intercept, which is 54\frac{5}{4}.
  3. Determine solutions: Step 33: Determine the number of solutions. Since both equations have the same slope and yy-intercept, they represent the same line. Therefore, every point on the line is a solution to both equations.

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