Fill in the blank is empty set. inconsistent system. are parallel.
Work Step by Step
The given equations are. $ 12x-21y=24 $ ... (1) $ 4x-7y=7 $ ... (2) Multiply equation (2) by $ -3 $. $ -12x+21y=-21 $ ... (3) Add equation (1) and (3). $ 12x-12x-21y+21y=24-21 $ Add liker terms $ 0=3 $ This is the false statement, which indicate the the solution set is empty. And the linear system is inconsistent system. In the graph we obtain two parallel lines.