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Which describes the system of equations below?\newliney=7x−7y = 7x - 7\newliney=7x−7y = 7x - 7\newlineChoices:\newline(A)consistent and dependent\newline(B)consistent and independent\newline(C)inconsistent

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Q. Which describes the system of equations below?\newliney=7x−7y = 7x - 7\newliney=7x−7y = 7x - 7\newlineChoices:\newline(A)consistent and dependent\newline(B)consistent and independent\newline(C)inconsistent
  1. Analyze Equations: Analyze the given system of equations to determine their relationship.\newlineThe system of equations is:\newliney=7x−7y = 7x − 7\newliney=7x−7y = 7x − 7\newlineWe can see that both equations are identical. This means that every solution to the first equation is also a solution to the second equation. Therefore, the system has infinitely many solutions.
  2. Determine Relationship: Determine the type of system based on the number of solutions.\newlineSince the system has infinitely many solutions, it means that the lines represented by the equations coincide with each other. This type of system is known as consistent because there are solutions, and dependent because all solutions of one equation are also solutions of the other.

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