we have
[tex]3x+2y=1[/tex] ------> equation A
[tex]-6x-4y=-2[/tex] ------> equation B
Multiply the equation A by [tex]-2[/tex] both sides
[tex]-2(3x+2y)=-2(1)[/tex]
[tex]-6x-4y=-2[/tex] -----> equation A and equation B are the same
so
This is a consistent dependent system.
The system has an infinite number of solutions.
When you graph the equations, both equations represent the same line.
therefore
the answer is
The system has an infinite number of solutions.
