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

Question

Mathematics

Maestro

19 September, 10:17

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

+2

Answers (1)

Know the Answer?

Meredith Higgins · Answer 1

Henry could only see one line.

Step-by-step explanation:

Since, both line have same slope. The graph of both equation will be same and hence it will overlap each other.