[6.01] You graph a system of equations and the two lines overlap, or lie right on top of one another. Explain what this tells you about the:

solution to the system
the two equations
the result if the system was solved algebraically

Question

[6.01] You graph a system of equations and the two lines overlap, or lie right on top of one another. Explain what this tells you about the:

solution to the system
the two equations
the result if the system was solved algebraically

anonymous · Answer

if the lines intersect, the system has one solution, if it doesn't the system has no solutions, if the lines overlap, they have infinitely many solutions

anonymous · Answer

there are infinite solutions to the system
the two equations are identical (they are the same line)
the result if solved algebraically is 0=0

anonymous · Answer

gracias

anonymous · Answer

no problemo :)

anonymous · Answer

On further reflection I think you get 1=1 when solving these algebraically.  Example:
y=3x
y=3x
3x=3x
1=1

anonymous · Answer

hmmmm...I guess you could also say you get x=x