## waheguru 3 years ago How Do I solve this

1. waheguru

2. freckles

What do you mean without canceling out?

3. waheguru

Can you show how to solve this

4. freckles

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

5. estudier

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

6. freckles

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

7. waheguru

CAn you show me please I tried many times

8. freckles

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

9. freckles

What do you get after performing this?

10. estudier

No, no........

11. freckles

What @estudier ?

12. waheguru

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

13. waheguru

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

14. freckles

Where does that x^2 come from?

15. estudier

|dw:1342565026387:dw|

16. waheguru

Freckles when I timed x(x-7)

17. freckles

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

18. estudier

This equation is inconsistent.

19. waheguru

the first one $x^2-7x$

20. freckles

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

21. freckles

=1

22. estudier

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

23. freckles

left out the a/a=1 part

24. waheguru

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

25. freckles

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

26. estudier

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

27. freckles

What factor does the bottom and top have in common?

28. waheguru

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

29. estudier

The equation is inconsistent!1111

30. waheguru

x @freckles

31. freckles

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

32. waheguru

Yes

33. estudier

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

34. estudier

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

35. 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

36. estudier

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

37. freckles

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

38. waheguru

@estudier Then How do you think we solve this

39. estudier

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

40. waheguru

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

41. estudier

It is like writing 1= 2

42. 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

43. freckles

@estudier is right there is no solution

44. waheguru

guys ok thanks

45. estudier

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

46. freckles

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

47. freckles

Doing it the way I was trying to show @waheguru

48. freckles

So therefore no solution

49. estudier

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

50. waheguru

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

51. waheguru

this is not impossible noting is

52. waheguru

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

53. estudier

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

54. waheguru

Ur right i am so sorry

55. waheguru

I just realized Brother I appoloze

56. estudier

Accepted.

57. waheguru

I was just confued

58. freckles

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

59. 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

60. waheguru

yea