anonymous one year ago The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F. F = 9/5 C + 32 Which of the following formulas correctly solves for C? C = 5F - 32/9 C = 5F/9 - 32 C = 9/5 (F - 32) C = 5/9 (F - 32)

1. anonymous

Can you show step-by-step because I want to know for later

2. greatlife44

When we solve for a variable we need to isolate that variable first. Isolate C Step one: do the opposite of addition which is subtraction. so we subtract -32 from both sides. |dw:1441763132933:dw|

3. anonymous

i dont get anything lol

4. greatlife44

We divide both sides by 9/5 and we see that now 9/5 cancels out on one side

5. anonymous

okay

6. greatlife44

Tell me what You don't get, read everything I did

7. anonymous

How do we subtract 32 from 9/5 ?

8. anonymous

That doesn't make sense...

9. greatlife44

I didn't do that

10. greatlife44

i subtracted 32 from both sides, let me show you again

11. anonymous

No no its fine ... what's the answer? It would be easier for me to understand

12. anonymous

Its easier in a way because I would look back and forth on it so I would figure it out how you did it because right now im confused like heck

13. greatlife44

1 $F = \frac{ 9 }{ 5 }C + 32$ 2$F-32 = \frac{ 9 }{ 5 }C$ 3 $\frac{ 5 }{ 9 }(F-32) = C$

14. anonymous

Okay?

15. greatlife44

I should have just written it this way lol

16. greatlife44

so above I wrote out all the steps.

17. anonymous

Probably its alot easier but why are the answers copied lol

18. anonymous

Ooooh

19. anonymous

Im look back to back I can't understand 9/5C is just switching back and forth..

20. greatlife44

Step one I subtracted 32 from both sides, and i got F - 32 = 9/5c then I divided both sides by (9/5) when you divide a fraction you flip it the denominator becomes the numerator; so it becomes (5/9) and got (5/9)(F-32) = C

21. anonymous

I think I understand

22. anonymous

But how do you take away the 9/5 from C

23. greatlife44

@CIAsmart you have 9/5*C right? to take it away you do the opposite of multiplication which is division. so i divided both sides by (9/5) so on one side $\frac{ 9/5 }{ 9/5 } C = C$ (9/5)/(9/5) = 1 then I did the same thing on the other side (F-32) $\frac{ f-32 }{ \frac{ 9 }{ 5 } } = (5/9)*(f-32)$

24. greatlife44

Let me know if this is clear

25. anonymous

Yes

26. anonymous

That last part helped alot thanks sorry to waste your time nut seriously you can explain some way that I like lol so easy to understand

27. greatlife44

Don't worry, at least you understand it better now

28. anonymous

when you divided f-32 / 9/5

29. anonymous

you just flip it and thats it?

30. greatlife44

Think about if you're dividing the whole thing by (9/5) because if i re write it

31. anonymous

I dont want to beg you but can you give me a question like about this with different number so I can do it myself and you can see if I did right?

32. greatlife44

$f-32 * \frac{ 1 }{ \frac{ 9 }{ 5 } }$

33. greatlife44

34. anonymous

Life must be great for you since you understand math so easily ,....

35. anonymous

1.8

36. greatlife44

it takes some time, though. there are people on this site who are much better than I am. $\frac{ 1 }{ \frac{ 9 }{ 5 } } = \frac{ 5 }{ 9 }$ it's called the reciprocal it means we just put 1 over that number.

37. anonymous

Yeah yeah sorry its 5/9

38. anonymous

I did it wrong the first time then i got my real calculator and it showed 5 over 9

39. greatlife44

you have to put the answers in brackets sometimes because the calculator gives you the wrong answer

40. greatlife44

especially when you divide numbers

41. anonymous

Can you give me a problem just like this one so I can solve it and see what my mistakes are or if I really understand it?

42. greatlife44

ok $\frac{ 4 }{ 5 }x + 1 = F$ I want you to solve for x

43. greatlife44

so you need to make sure that you get x by itself

44. greatlife44

this is somewhat similar to the other question you had before

45. anonymous

we subtract 1 from each side?

46. anonymous

5 over 4 F - 1= x

47. greatlife44

You are correct we must subtract one first BUT do it one step at a time

48. greatlife44

so first subtract one from both sides and then show me what you have now

49. anonymous

F - 1

50. greatlife44

okay so you have F-1 = 4/5x what must you do now? to isolate x?

51. anonymous

(F-1)$\frac{ f-1 }{ \frac{ 4 }{ 5 }X }$

52. greatlife44

nice but you're just dividing by 4/5 not 4/5x because we want to isolate x remember? but otherwise great

53. anonymous

Yeah I dont know this part lol...

54. greatlife44

|dw:1441765316715:dw|

55. greatlife44

i'm a college student

56. anonymous

So I got it right the first time?

57. greatlife44

one word: practice

58. greatlife44

59. anonymous

60. greatlife44

|dw:1441765557365:dw|

61. anonymous

YYYYEEEESSSS I GOT IT RIGHT OMGGGGG

62. greatlife44

|dw:1441765621421:dw|

63. greatlife44

LOL

64. greatlife44

absolutely take care