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Which describes the system of equations below?\newliney=6x9y = -6x - 9\newliney=6x9y = -6x - 9\newlineChoices:\newline(A)inconsistent\newline(B)consistent and independent\newline(C)consistent and dependent

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Q. Which describes the system of equations below?\newliney=6x9y = -6x - 9\newliney=6x9y = -6x - 9\newlineChoices:\newline(A)inconsistent\newline(B)consistent and independent\newline(C)consistent and dependent
  1. Identify Slopes: We have the system of equations:\newliney=6x9y = -6x - 9\newliney=6x9y = -6x - 9\newlineIdentify whether the slopes of both the equations are the same.\newlineIn y=6x9y = -6x - 9, the slope is 6-6.\newlineIn y=6x9y = -6x - 9, the slope is 6-6.
  2. Identify Y-Intercepts: We have the system of equations:\newliney = 6x9-6x - 9\newliney = 6x9-6x - 9\newlineIdentify whether the y-intercepts of both the equations are the same.\newlineIn y=6x9y = -6x - 9, the y-intercept is 9-9.\newlineIn y=6x9y = -6x - 9, the y-intercept is 9-9.
  3. Choose System Description: y=6x9y = -6x - 9\newliney=6x9y = -6x - 9\newlineChoose the option which describes the given system of equations.\newlineSince the slopes and yy-intercepts are the same for both equations, the system of equations is consistent and dependent.

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