anonymous
  • anonymous
Write the algebraic equation of: Five-sixths of a number is -60. What is the number?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[(5\div60)x =-60\]
anonymous
  • anonymous
Five sixths of a number means: Let the number be x.. So Five sixths of this number x will be : \(\frac{5}{6} \; of \;x = \frac{5}{6}x\)
anonymous
  • anonymous
This is given equal to -60.. So: \[\frac{5}{6}x = -60\] Now here you have to find x..

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anonymous
  • anonymous
Getting this much @rannsan
anonymous
  • anonymous
I am trying to follow
anonymous
  • anonymous
Read the question and tell me what is that you are not understanding?? Is question clear to you or not ??
anonymous
  • anonymous
it is clear I am following you I am just confused as to how to find what x is.
anonymous
  • anonymous
You have to get rid of 5/6 there.. Can you multiply both the sides by 6??
anonymous
  • anonymous
just multiply -60 with 6 and divide by 5
anonymous
  • anonymous
\[\frac{5}{6}x \times 6= -60 \times 6\]
anonymous
  • anonymous
(-60)6 and divide by 5?
anonymous
  • anonymous
Can you solve that I have written above ??
anonymous
  • anonymous
NO
anonymous
  • anonymous
Can't you cancel 6 with 6 on Left hand side ??
anonymous
  • anonymous
5X = -60?
anonymous
  • anonymous
No.. You have to multiply 6 with -60.. On Right hand side why you cancelled 6 ??
anonymous
  • anonymous
oops I misunderstood that one
anonymous
  • anonymous
\[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\] \[5x = -360\] Now divide by 5 both the sides to get x..
anonymous
  • anonymous
\[5x \times = -60 \times 5x = -360
anonymous
  • anonymous
I am still not following
anonymous
  • anonymous
Where you lost ??
anonymous
  • anonymous
on everything...
anonymous
  • anonymous
I need step by step once again please.
anonymous
  • anonymous
\[\frac{5}{6}x \times 6= -60 \times 6\] Till this are you clear ??
anonymous
  • anonymous
(5/6x)6 = -60
anonymous
  • anonymous
Why are not multiplying 6 on right hand side ??
anonymous
  • anonymous
I thought I was
anonymous
  • 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..
anonymous
  • anonymous
oh ok let me see
anonymous
  • anonymous
(5/6x)6 = -60x6
anonymous
  • anonymous
Yes..
anonymous
  • anonymous
Now on left hand side you can cancel 6 with bottom 6 right ??
anonymous
  • anonymous
(5x)6 = -60x6
anonymous
  • anonymous
Do you know how we cancel things ??
anonymous
  • anonymous
no
anonymous
  • 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 ??
anonymous
  • anonymous
See like this: \[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\] So you are left with now: \[5x = -360\]
anonymous
  • anonymous
yes
anonymous
  • anonymous
Sure no?? Getting ??
anonymous
  • anonymous
I am getting it, writing notes
anonymous
  • 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..
anonymous
  • anonymous
Are you really typing @rannsan
anonymous
  • anonymous
5(5x) = (5)-360 25= -360(5) 25=-503.8 Ok I know that is wrong
anonymous
  • anonymous
I think you are multiplying.. I said to divide.. You know what divide means ??
anonymous
  • anonymous
You did say divide I was multiplying
anonymous
  • anonymous
\[5\div5x = 1\]
anonymous
  • anonymous
\[-360\div5\]
anonymous
  • anonymous
No you are still doing opposite: \[\frac{5x}{5} = \frac{-360}{5}\] Can you do this now ??
anonymous
  • anonymous
5x/5 = -360/5
anonymous
  • anonymous
Yes..
anonymous
  • anonymous
Now when you cancel top 5 with bottom 5 you will left with x and not 1.. Right ??
anonymous
  • anonymous
x only
anonymous
  • anonymous
Yes.. This is on left hand side.. now can you solve right hand side??
anonymous
  • anonymous
x= -360/5
anonymous
  • anonymous
I divide the 5 by the -360?
anonymous
  • anonymous
Yes.. go ahead..
anonymous
  • anonymous
\[\frac{-360}{5} = ??\]
anonymous
  • anonymous
-647.8
anonymous
  • anonymous
I know ight isn't right
anonymous
  • anonymous
-360/5
anonymous
  • anonymous
\[\frac{-360}{5} = -72\]
anonymous
  • anonymous
-360/5=-72
anonymous
  • anonymous
thank you! once again

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