anonymous 4 years ago Write the algebraic equation of: Five-sixths of a number is -60. What is the number?

1. anonymous

$(5\div60)x =-60$

2. anonymous

Five sixths of a number means: Let the number be x.. So Five sixths of this number x will be : $$\frac{5}{6} \; of \;x = \frac{5}{6}x$$

3. anonymous

This is given equal to -60.. So: $\frac{5}{6}x = -60$ Now here you have to find x..

4. anonymous

Getting this much @rannsan

5. anonymous

I am trying to follow

6. anonymous

Read the question and tell me what is that you are not understanding?? Is question clear to you or not ??

7. anonymous

it is clear I am following you I am just confused as to how to find what x is.

8. anonymous

You have to get rid of 5/6 there.. Can you multiply both the sides by 6??

9. anonymous

just multiply -60 with 6 and divide by 5

10. anonymous

$\frac{5}{6}x \times 6= -60 \times 6$

11. anonymous

(-60)6 and divide by 5?

12. anonymous

Can you solve that I have written above ??

13. anonymous

NO

14. anonymous

Can't you cancel 6 with 6 on Left hand side ??

15. anonymous

5X = -60?

16. anonymous

No.. You have to multiply 6 with -60.. On Right hand side why you cancelled 6 ??

17. anonymous

oops I misunderstood that one

18. anonymous

$\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6$ $5x = -360$ Now divide by 5 both the sides to get x..

19. anonymous

$5x \times = -60 \times 5x = -360 20. anonymous I am still not following 21. anonymous Where you lost ?? 22. anonymous on everything... 23. anonymous I need step by step once again please. 24. anonymous \[\frac{5}{6}x \times 6= -60 \times 6$ Till this are you clear ??

25. anonymous

(5/6x)6 = -60

26. anonymous

Why are not multiplying 6 on right hand side ??

27. anonymous

I thought I was

28. anonymous

Multiplying 6 both sides means you have to multiply 6 on left as well as right hand side.. You have multiplied with left hand side only..

29. anonymous

oh ok let me see

30. anonymous

(5/6x)6 = -60x6

31. anonymous

Yes..

32. anonymous

Now on left hand side you can cancel 6 with bottom 6 right ??

33. anonymous

(5x)6 = -60x6

34. anonymous

Do you know how we cancel things ??

35. anonymous

no

36. anonymous

See: you have cancel one 6 in left hand side.. but how can you cancel one 6?? you can cancel two 6 and that too will be in the form: 6 - 6 you can cancel them. 6/6 here also you can cancel them.. Getting ??

37. anonymous

See like this: $\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6$ So you are left with now: $5x = -360$

38. anonymous

yes

39. anonymous

Sure no?? Getting ??

40. anonymous

I am getting it, writing notes

41. anonymous

Now you are just one step away: You just need to divide by 5 both the sides to get rid of 5 attached to x.. can you do that? Both the sides means you will be divide left as well as right hand side by 5.. Show me what you did..

42. anonymous

Are you really typing @rannsan

43. anonymous

5(5x) = (5)-360 25= -360(5) 25=-503.8 Ok I know that is wrong

44. anonymous

I think you are multiplying.. I said to divide.. You know what divide means ??

45. anonymous

You did say divide I was multiplying

46. anonymous

$5\div5x = 1$

47. anonymous

$-360\div5$

48. anonymous

No you are still doing opposite: $\frac{5x}{5} = \frac{-360}{5}$ Can you do this now ??

49. anonymous

5x/5 = -360/5

50. anonymous

Yes..

51. anonymous

Now when you cancel top 5 with bottom 5 you will left with x and not 1.. Right ??

52. anonymous

x only

53. anonymous

Yes.. This is on left hand side.. now can you solve right hand side??

54. anonymous

x= -360/5

55. anonymous

I divide the 5 by the -360?

56. anonymous

57. anonymous

$\frac{-360}{5} = ??$

58. anonymous

-647.8

59. anonymous

I know ight isn't right

60. anonymous

-360/5

61. anonymous

$\frac{-360}{5} = -72$

62. anonymous

-360/5=-72

63. anonymous

thank you! once again