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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
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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
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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
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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
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OpenStudy (mindblast3r):
okay i understand this now :) thanks a lot guys :D