Question

Systems of equations with different slopes and different y-intercepts have more than one solution?

Answer 1

In most cases, this is true.

Answer 2

so will it be always never or sometimes??

Answer 3

Sometimes.

Answer 4

when will they not intersect?

Answer 5

okay thank you. how about in this question Systems of equations with the same slopes and different y-intercepts have no solution

Answer 6

they will not intersect if they are parallel

Answer 7

right^, and they are parallel if they have the same slope, eh?

Answer 8

they will have the same slope AND different Y-intecepst

Answer 9

right, otherwise they coincide

Answer 10

correct

Answer 11

but we are given that the slopes and y intercepts are different, hence the lines are not parallel
so this means that chaise is wrong

Answer 12

straight lines with different y-intercepts will intercept at most one point

Answer 13

how about at least?

Answer 14

at one point AND only at one point

Answer 15

so the correct answer to this question was...?

Answer 16

Systems of equations WITH different slopes and different Y-intercepts ARE parallel AND therefore have NO solution since they have no point in common

Answer 17

@pukiki98 ^this is why you don't take the first answer thrown at you without explanation did, like chaise
morales has provided the correct answer to your first question
please post your other question separately

Answer 18

..well he as at least insinuated the right answer

Answer 19

thanks, turing. this questions take me back to engineering school. by the way, are you related to alan turing?

Answer 20

its okay i got the answer it was sometimes.

Answer 21

no the name is a joke :)
a TuringTest is a machine designed to fool humans into thinkiing that it is human, whne in fact it is really a computer or something
google it :)
@pukiki98 that's not the answer

Answer 22

the test was invented by alan turing though

Answer 23

so than what is the answer?

Answer 24

@pukiki98 look at what morales and I have told you:
if the lines have the same slope and different y-intercepts they do not intersect
if they have different slopes they intersect exactly once
the intersection of the two lines is the solution of your system
that is enough info to answer your question

Answer 25

I am not really sure what pukki is asking. any number of straight lines can intercept at most at one point and and only one point and therefore have at most only one solution. if the lines are parallel, they do not intercept and therefore have no solution. PS. a turing machine is a computer with infinite memory. did any of this make any sense.

Answer 26

@morales I didn't know that ^
and pukkiki is given that he has two lines with different slopes
they are asking if that means their equations can have more than one solution

Answer 27

turing test is correct. i need to be more clear. i am talking about a system of equations that is either inconsistent, consistent or the same equation. if the system is inconsistent (parallel), then it has no solutions. if the system is consistent (not parallel) AND the lines have different slopes AND the lines are linear, then they have at most one solution.

Answer 28

exactly from which @pukiki98 should be able to get the answer to their problem

Answer 29

yes, it should now be intiutively obvious even to the most casual observer. LOL