anonymous
  • anonymous
Which best describes a system of equations that has infinitely many solutions? 1.)consistent, independent 2.)inconsistent, dependent 3.)consistent, dependent 4.)inconsistent
Mathematics
schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
inconsistent systems do not have solutions, so choices 2 and 4 are out
jim_thompson5910
  • jim_thompson5910
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
  • jim_thompson5910
so which one do you think it is

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anonymous
  • anonymous
Okay, well I vote for consistent, independent????? idk I guess it just makes to me with what I've learned :
jim_thompson5910
  • jim_thompson5910
here's an example of what consistent and independent equations look like when they are graphed |dw:1353706893223:dw|
jim_thompson5910
  • jim_thompson5910
how many solutions does this system have

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