waheguru
How Do I solve this
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waheguru
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freckles
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What do you mean without canceling out?
waheguru
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Can you show how to solve this
freckles
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I'm not really sure what that means here?
You mean without clearing the denominators?
estudier
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get the number on one side of the = and the others on the other side so that you can manipulate them directly.
freckles
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I would first clear the denominators by multiplying both sides by (x-7)
waheguru
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CAn you show me please I tried many times
freckles
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Multiply the 2 terms on the left by (x-7)
And
Multiply the 1 term on the right by (x-7)
freckles
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What do you get after performing this?
estudier
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No, no........
freckles
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What @estudier ?
waheguru
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x^2-7x+6x-42=7x-49
right?
waheguru
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\[x^2-7x+6x-42=7x-49 \]
freckles
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Where does that x^2 come from?
estudier
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|dw:1342565026387:dw|
waheguru
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Freckles when I timed x(x-7)
freckles
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What is \[\frac{x}{x-7} \cdot (x-7)=?\]
\[6 \cdot (x-7)=?\]
\[\frac{7}{x-7} \cdot (x-7)=?\]
estudier
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This equation is inconsistent.
waheguru
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the first one
\[x^2-7x\]
freckles
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no @waheguru \[\frac{a}{a} , \text{ assuming of course } a \neq 0\]
freckles
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=1
estudier
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Why do I feel like I am talking to myself here?
freckles
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left out the a/a=1 part
waheguru
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So the x's cancel out and it becomes 7x?
freckles
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\[\frac{x(x-7)}{(x-7)}\]
estudier
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There is no need to multiply initially that is just a waste of time.
freckles
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What factor does the bottom and top have in common?
waheguru
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@estudier
I know you can cencel out but i wanna try this way
estudier
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The equation is inconsistent!1111
waheguru
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x
@freckles
freckles
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The top and bottom both have the factor (x-7) in common
waheguru
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Yes
estudier
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I am not cancelling anything.......
estudier
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x-7/x-7 = -6 is just nonsense
freckles
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\[\frac{x \not{(x-7)}}{ \not{(x-7)}}\]
Imagine that canceler thingy is over the whole factor (x-7)
Couldn't do it in latex so we have
the first one x
So
Now try the other two
estudier
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You two evidently have nothing better to do.....:-)
freckles
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@estudier I know what you are saying but I just want to convince him
waheguru
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@estudier
Then How do you think we solve this
estudier
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There is no solution, the equation is not consistent (it is a false equation)
waheguru
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no its not,
there is an asnwer
!!!!!!
estudier
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It is like writing 1= 2
freckles
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Right but we need to show him that...and convince him...
If he doesn't understand your way, then there is no hurt in me showing this other way
freckles
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@estudier is right there is no solution
waheguru
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guys ok
thanks
estudier
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He doesn't want to understand it, that is a different thing.
freckles
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We will get x=7 but that is a contradiction because x cannot be 7
freckles
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Doing it the way I was trying to show @waheguru
freckles
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So therefore no solution
estudier
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When simplifying add or subtract like things first.....
waheguru
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this is not impossible
noting is
estudier
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The equation is inconsistent (I don't care what is on youtube)
waheguru
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Ur right i am so sorry
waheguru
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I just realized
Brother I appoloze
estudier
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Accepted.
waheguru
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I was just confued
freckles
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@waheguru the way the video is doing it was the exact way I was going to show you
freckles
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Did you see that she got x=7 but then since we have x-7 on bottom then x cannot be 7 so there is no solution
waheguru
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yea