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Which describes the system of equations below?\newliney=−37x−89y = -\frac{3}{7}x - \frac{8}{9}\newliney=−37x−89y = -\frac{3}{7}x - \frac{8}{9}\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=−37x−89y = -\frac{3}{7}x - \frac{8}{9}\newliney=−37x−89y = -\frac{3}{7}x - \frac{8}{9}\newlineChoices:\newline(A)consistent and dependent\newline(B)consistent and independent\newline(C)inconsistent
  1. Analyze Relationship: Analyze the given system of equations to determine their relationship.\newlineThe system of equations is:\newliney=−37x−89y = \frac{-3}{7}x - \frac{8}{9}\newliney=−37x−89y = \frac{-3}{7}x - \frac{8}{9}\newlineBoth equations are identical, which means every solution to the first equation is also a solution to the second equation. This implies that the lines represented by these equations would lie on top of each other, having infinitely many points in common.
  2. Determine System Type: Determine the type of system based on the analysis.\newlineSince the two equations are identical, the system has an infinite number of solutions. This means that the system is consistent because there are solutions, and it is dependent because the equations represent the same line.

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