Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

@mickey4691 Write T for true or F for false.

OpenStudy (anonymous):

True or False: The graphs of an inconsistent line are parallel. True or False: The graphs of an independent system intersect at one point. Answer the question: Is it possible for a system of equations to be both independent and inconsistent? Explain.

OpenStudy (anonymous):

help with whatever you can please :)

jimthompson5910 (jim_thompson5910):

when a system of equations is inconsistent, what do we know about the solutions?

OpenStudy (anonymous):

personally, not much

jimthompson5910 (jim_thompson5910):

what does inconsistent mean?

OpenStudy (anonymous):

erratic

jimthompson5910 (jim_thompson5910):

in terms of a system of linear equations though

OpenStudy (anonymous):

no clue

OpenStudy (anonymous):

negative?

jimthompson5910 (jim_thompson5910):

http://www.mathwords.com/i/inconsistent_system_of_equations.htm

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

so, true for the first one?

jimthompson5910 (jim_thompson5910):

why true?

OpenStudy (anonymous):

because they never intersect and never make a point so it's 0 or no solution i guess

jimthompson5910 (jim_thompson5910):

correct, they need to intersect to have a solution

OpenStudy (anonymous):

sweet

OpenStudy (anonymous):

#2?

jimthompson5910 (jim_thompson5910):

True or False: The graphs of an independent system intersect at one point.

jimthompson5910 (jim_thompson5910):

what is an independent system of equations?

OpenStudy (anonymous):

ummmm

OpenStudy (anonymous):

a system of equation with equal slopes but different y-intercepts?

jimthompson5910 (jim_thompson5910):

that would be inconsistent since you just formed 2 parallel lines

OpenStudy (anonymous):

rip

jimthompson5910 (jim_thompson5910):

rip?

OpenStudy (anonymous):

rest in peace

jimthompson5910 (jim_thompson5910):

oh, am I missing something? lol

OpenStudy (anonymous):

i'm dead now because i got it wrong

jimthompson5910 (jim_thompson5910):

oh gotcha lol anyways, if we have an independent system, then we have 2 equations that are different and not parallel. So there is always exactly one solution with any independent system. example: y = 2x+3 y = 7x-2

jimthompson5910 (jim_thompson5910):

An independent system is considered consistent because it has 1 solution. Any consistent system has 1 or more solutions.

OpenStudy (anonymous):

so..true?

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (anonymous):

so..for the question

OpenStudy (anonymous):

i would say no, because an independent system intersects at one point while and inconsistent system has no point because it's parallel

jimthompson5910 (jim_thompson5910):

good. The two are complete opposites that can't happen at the same time.

OpenStudy (anonymous):

wooo

OpenStudy (anonymous):

thanks

jimthompson5910 (jim_thompson5910):

np

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!