Question

To solve the system of linear equations and by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations and with his graphing calculator, but he could only see one line. Why is this?
A. because the system of equations actually has only one solution
B. because the system of equations actually has no solution
C.because the graphs of the two equations overlap each other
D. because the graph of one of the equations does not exist

Answer 1

C.
That is  because the graphs of the two equations overlap each other.

Answer 2

The correct answer is C. Because if you have 2 equation and then graph it, you will see one line, which is overlap the other one.