Explain what it means for a system of linear equations to have no solutions, one

label Mathematics
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Jul 7th, 2015

Thank you for the opportunity to help you with your question!

lets suppose we have two linear equations

11+2x-7= 4x+5 -2x when we solve it we get 2x+4 = 2x+2

2x-2x = -2

0=-2 this equation will have no solution

now we have  2x+3-x = 2x+2

x+3 = 2x+2

-x = -1

x=1 this will have only one solution

Now for infinite solutions

lets suppose we have 

y= 3x+3

its value will depend on x 

as x can be any thing from - infinity to + infinity so it has infinite solutions.

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Jul 7th, 2015

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