 welcome to the session and discuss the following problem today. Is the following pair of V-nail equations consistent or inconsistent? If consistent obtain the solution graphically. We have 2x-2y-2 is equal to 0 and 4x-4y-5 is equal to 0. So let us write the solution now given equations are 2x-2y-2 is equal to 0 and 4x-4y-5 is equal to 0. Now comparing the equations is equal to 0 x plus b2y plus c2 is equal to 0 we get is equal to 2 b1 is equal to minus 2 c1 is equal to minus 2 is equal to 4 b2 is equal to minus 4 is equal to minus 5. Now a1 by a2 is equal to 2 by 4 which is equal to 1 by 2 equal to minus 2 by minus 4 which is equal to 1 by 2. Similarly c1 by c2 is equal to minus 2 by minus 5 which is equal to 2 by 5. And my a2 is equal to b1 by b2 is not equal to c1 by c2. Therefore, the given pair of linear equations are inconsistent. If you understood the problem, bye and have a nice day.