consistent and dependent - Which describes the system of equations below? y = -4x -\frac{7}{4} ; y = -4x+\frac{6}{5} Answer if the given set is consistent and dependent, consistent and independent or inconsistent

Sangeetha Pulapaka (last edited 4 years ago) (Expert, Educator @Qalaxia)

STEP 1: Recall how to check if the given set of equations gives a set of parallel lines, intersecting lines or infinitely many solutions.

Since the slopes are equal and the y-intercepts are not, the given set of equations are parallel to each other.

STEP 3: Recall how to check if the given set of equations is consistent and dependant, consistent and independent or inconsistent.

Since the lines are parallel to each other, this means they are inconsistent.