## waheguru Group Title How Do I solve this 2 years ago 2 years ago

1. waheguru Group Title

2. freckles Group Title

What do you mean without canceling out?

3. waheguru Group Title

Can you show how to solve this

4. freckles Group Title

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

5. estudier Group Title

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

6. freckles Group Title

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

7. waheguru Group Title

CAn you show me please I tried many times

8. freckles Group Title

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

9. freckles Group Title

What do you get after performing this?

10. estudier Group Title

No, no........

11. freckles Group Title

What @estudier ?

12. waheguru Group Title

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

13. waheguru Group Title

$x^2-7x+6x-42=7x-49$

14. freckles Group Title

Where does that x^2 come from?

15. estudier Group Title

|dw:1342565026387:dw|

16. waheguru Group Title

Freckles when I timed x(x-7)

17. freckles Group Title

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

18. estudier Group Title

This equation is inconsistent.

19. waheguru Group Title

the first one $x^2-7x$

20. freckles Group Title

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

21. freckles Group Title

=1

22. estudier Group Title

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

23. freckles Group Title

left out the a/a=1 part

24. waheguru Group Title

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

25. freckles Group Title

$\frac{x(x-7)}{(x-7)}$

26. estudier Group Title

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

27. freckles Group Title

What factor does the bottom and top have in common?

28. waheguru Group Title

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

29. estudier Group Title

The equation is inconsistent!1111

30. waheguru Group Title

x @freckles

31. freckles Group Title

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

32. waheguru Group Title

Yes

33. estudier Group Title

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

34. estudier Group Title

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

35. freckles Group Title

$\frac{x \not{(x-7)}}{ \not{(x-7)}}$ 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

36. estudier Group Title

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

37. freckles Group Title

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

38. waheguru Group Title

@estudier Then How do you think we solve this

39. estudier Group Title

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

40. waheguru Group Title

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

41. estudier Group Title

It is like writing 1= 2

42. freckles Group Title

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

43. freckles Group Title

@estudier is right there is no solution

44. waheguru Group Title

guys ok thanks

45. estudier Group Title

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

46. freckles Group Title

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

47. freckles Group Title

Doing it the way I was trying to show @waheguru

48. freckles Group Title

So therefore no solution

49. estudier Group Title

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

50. waheguru Group Title

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

51. waheguru Group Title

this is not impossible noting is

52. waheguru Group Title

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

53. estudier Group Title

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

54. waheguru Group Title

Ur right i am so sorry

55. waheguru Group Title

I just realized Brother I appoloze

56. estudier Group Title

Accepted.

57. waheguru Group Title

I was just confued

58. freckles Group Title

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

59. freckles Group Title

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

60. waheguru Group Title

yea