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Mathematics 21 Online
OpenStudy (mindblast3r):

help

OpenStudy (mindblast3r):

what does it mean when a systems of equations have infinite solutions?

Mehek (mehek14):

it means that any value replaced for a variable would make the equation true

OpenStudy (astrophysics):

That's like have lines on top of themselves I guess would be a good way to explain |dw:1436396556807:dw| they would all be on top of each other, just differentiate it a bit so you can see, infinite points, infinite solutions, it would be a true statement such as 0 = 0

Mehek (mehek14):

if you have 2 equations and you graph them and they are on top of each other, they have infinite solutions

Mehek (mehek14):

like the drawing

OpenStudy (mindblast3r):

so like x and y can be any number?

OpenStudy (mindblast3r):

x=4y+1 5x−20y=5

OpenStudy (mindblast3r):

for this solution 5=5

OpenStudy (mindblast3r):

this means infinite solutions.

OpenStudy (mindblast3r):

(1)=4(1)+1

OpenStudy (astrophysics):

Yes 5 = 5 means infinite

OpenStudy (mindblast3r):

1=4?

OpenStudy (astrophysics):

x= something is one solution

OpenStudy (astrophysics):

1 = 4 means no solution

OpenStudy (astrophysics):

makes no sense

OpenStudy (mindblast3r):

infinite solutions mean i can put any number for x and y? x=4y+1

OpenStudy (astrophysics):

That's just one equation

OpenStudy (mindblast3r):

oh right lol.

OpenStudy (astrophysics):

If you have two, yes you can put what ever you like and it will give you the same result as in 5 = 5, 100 = 100

OpenStudy (mindblast3r):

x=4y+1 5x−20y=5

OpenStudy (mindblast3r):

okay i understand this now :) thanks a lot guys :D

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