Question

In attempting to solve the system of in equality y =3x - 2 and x - 2y = 4, John graphed the two equations on his graphing calculator. Because he saw only one line, John wrote that the answer to the system is the empty set. Is He correct?

Answer 1

y = 3x - 2 

rearranging the second equatio:-

-2y = - x + 4

y =  0.5x - 2

these are 2 different equations so he would see 2 lines which intersect so he was not correct.