Which best describes a system of equations that has infinitely many solutions?
1.)consistent, independent
2.)inconsistent, dependent
3.)consistent, dependent
4.)inconsistent

Question

Which best describes a system of equations that has infinitely many solutions?  
1.)consistent, independent
2.)inconsistent, dependent
3.)consistent, dependent
4.)inconsistent

jim_thompson5910 · Answer

inconsistent systems do not have solutions, so choices 2 and 4 are out

jim_thompson5910 · Answer

if two equations are independent, then they form 2 distinct lines (that are not the same)

if two equations are dependent (one depends on the other), then they form 2 lines which are the same (one line lies on top of the other)

jim_thompson5910 · Answer

so which one do you think it is

anonymous · Answer

Okay, well I vote for consistent, independent????? idk I guess it just makes to me with what I've learned :

jim_thompson5910 · Answer

here's an example of what consistent and independent equations look like when they are graphed

|dw:1353706893223:dw|

jim_thompson5910 · Answer

how many solutions does this system have