SOLUTION: My teacher told me that u need to cancel out one of the variables. And when i do that it ends up canceling out both. How do i do it so it doesn't? 8m-2n=-16 2m-.5n=-4

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Question 20920: My teacher told me that u need to cancel out one of the variables. And when i do that it ends up canceling out both. How do i do it so it doesn't?
8m-2n=-16
2m-.5n=-4

Answer by khwang(438)   (Show Source): You can put this solution on YOUR website!
Hi:
If you found something wrong try again, calm down , sit and think.

Change
8m-2n=-16
2m-.5n=-4 into
4m-n =-8
4m-n= -8
by suing your eyes, absoltely no calculator, and no need pen or pencil.
You will see they are the same equation. Tjis means they are linearly independent
(or two parallel lines ) and have infinitely many solutions.
Kenny
PS: This belongs to (baby )linear system, not in linear algebra.
A serious mistake of posting pin wrong category here.

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