To solve the system of linear equations 3x-2y- 4 and Ex-By-12 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 3x-23-4 and Ex-By-12 with his graphing calculator,
but he could only see one line. Why is this?
O because the system ofequations actually has only one solution
O because the system of equations actually has no solution
O because the graphs of the two equations overlap each other
h ause the graph of one of the equations does not exist