How Do I solve this

- waheguru

How Do I solve this

- chestercat

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- waheguru

##### 1 Attachment

- freckles

What do you mean without canceling out?

- waheguru

Can you show how to solve this

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## More answers

- freckles

I'm not really sure what that means here?
You mean without clearing the denominators?

- anonymous

get the number on one side of the = and the others on the other side so that you can manipulate them directly.

- freckles

I would first clear the denominators by multiplying both sides by (x-7)

- waheguru

CAn you show me please I tried many times

- freckles

Multiply the 2 terms on the left by (x-7)
And
Multiply the 1 term on the right by (x-7)

- freckles

What do you get after performing this?

- anonymous

No, no........

- freckles

What @estudier ?

- waheguru

x^2-7x+6x-42=7x-49
right?

- waheguru

\[x^2-7x+6x-42=7x-49 \]

- freckles

Where does that x^2 come from?

- anonymous

|dw:1342565026387:dw|

- waheguru

Freckles when I timed x(x-7)

- freckles

What is \[\frac{x}{x-7} \cdot (x-7)=?\]
\[6 \cdot (x-7)=?\]
\[\frac{7}{x-7} \cdot (x-7)=?\]

- anonymous

This equation is inconsistent.

- waheguru

the first one
\[x^2-7x\]

- freckles

no @waheguru \[\frac{a}{a} , \text{ assuming of course } a \neq 0\]

- freckles

=1

- anonymous

Why do I feel like I am talking to myself here?

- freckles

left out the a/a=1 part

- waheguru

So the x's cancel out and it becomes 7x?

- freckles

\[\frac{x(x-7)}{(x-7)}\]

- anonymous

There is no need to multiply initially that is just a waste of time.

- freckles

What factor does the bottom and top have in common?

- waheguru

@estudier
I know you can cencel out but i wanna try this way

- anonymous

The equation is inconsistent!1111

- waheguru

x
@freckles

- freckles

The top and bottom both have the factor (x-7) in common

- waheguru

Yes

- anonymous

I am not cancelling anything.......

- anonymous

x-7/x-7 = -6 is just nonsense

- freckles

\[\frac{x \not{(x-7)}}{ \not{(x-7)}}\]
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

- anonymous

You two evidently have nothing better to do.....:-)

- freckles

@estudier I know what you are saying but I just want to convince him

- waheguru

@estudier
Then How do you think we solve this

- anonymous

There is no solution, the equation is not consistent (it is a false equation)

- waheguru

no its not,
there is an asnwer
!!!!!!

- anonymous

It is like writing 1= 2

- freckles

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

@estudier is right there is no solution

- waheguru

guys ok
thanks

- anonymous

He doesn't want to understand it, that is a different thing.

- freckles

We will get x=7 but that is a contradiction because x cannot be 7

- freckles

Doing it the way I was trying to show @waheguru

- freckles

So therefore no solution

- anonymous

When simplifying add or subtract like things first.....

- waheguru

guys look at this
http://www.youtube.com/watch?v=q7_xdLZHN6g
the same question appears at about 5 miutes

- waheguru

this is not impossible
noting is

- waheguru

@estudier @freckles
http://www.youtube.com/watch?v=q7_xdLZHN6g
at 5 mins

- anonymous

The equation is inconsistent (I don't care what is on youtube)

- waheguru

Ur right i am so sorry

- waheguru

I just realized
Brother I appoloze

- anonymous

Accepted.

- waheguru

I was just confued

- freckles

@waheguru the way the video is doing it was the exact way I was going to show you

- freckles

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

yea

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