anonymous
  • anonymous
does the system have one solution, no solution, or an infinite number of solutions? 5x-y=10 x+6y=33 a. one b. infinite numbers c. none
Mathematics
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anonymous
  • anonymous
does the system have one solution, no solution, or an infinite number of solutions? 5x-y=10 x+6y=33 a. one b. infinite numbers c. none
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
well its not c, you can use substitution and find one answer so a
anonymous
  • anonymous
it certainly doesn't have infinite solutions. it has to be either one or none.
anonymous
  • anonymous
ok so i had answered none on my exam and ur saying infinite number cant be it so it definetly has to be one. thanks a bunch

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anonymous
  • anonymous
Both of those functions are linear (lines). They will have no solution if and only if they are parallel. They will have infinite solutions if they are the same line. If neither of those is the case then they will intersect at exactly one point.
anonymous
  • anonymous
You can see that they are not parallel because -5 (the slope of the first equation) does not equal 1/6 (the slope of the second equation). Therefore they cannot be the same line (as that would of course have the same slope). Thus they have 1 solution.
anonymous
  • anonymous
awesomeness generously explained thank you

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