Question

In attempting to solve the system of equations y 3x 2 and 6x 2y 4, John graphed the two equations on his calculator. Because he saw only one line, John wrote that the answer to the system is the empty set. Is he correct? Explain your answer.

Answer 1

No, he is not correct. The lines are the same, so there are an infinite number of solutions.

When two lines are parallel, then the solution is empty set.