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Which describes the system of equations below?\newliney=17x−10y = \frac{1}{7}x - 10\newliney=17x−10y = \frac{1}{7}x - 10\newlineChoices:\newline[A]consistent and independent\text{[A]consistent and independent}\newline[B]consistent and dependent\text{[B]consistent and dependent}\newline[C]inconsistent\text{[C]inconsistent}

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Q. Which describes the system of equations below?\newliney=17x−10y = \frac{1}{7}x - 10\newliney=17x−10y = \frac{1}{7}x - 10\newlineChoices:\newline[A]consistent and independent\text{[A]consistent and independent}\newline[B]consistent and dependent\text{[B]consistent and dependent}\newline[C]inconsistent\text{[C]inconsistent}
  1. Check Slopes Equal: Check if the slopes of both equations are the same.\newlineSlope of first equation: 17\frac{1}{7}.\newlineSlope of second equation: 17\frac{1}{7}.\newlineBoth slopes are equal.
  2. Check Y-Intercepts Equal: Check if the y-intercepts of both equations are the same.yy-intercept of first equation: −10-10.yy-intercept of second equation: −10-10. Both yy-intercepts are equal.
  3. Lines are Coincident: Since both the slopes and yy-intercepts are the same, the lines are coincident.\newlineThis means the system of equations has infinitely many solutions.\newlineThe system is consistent and dependent.

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