Without graphing, classify the system of equations as either consistent or inconsistent. −7x+8y=9

21x/8−3y=−6

How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

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