Equations involving fractions: 1/5k + 5 = 1/6k- 10

taragbeh

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Need some help here thanks

1/5k + 5= 1/6k- 10

I got three answers so I am unsure if i am doing the right thing. my answers are K=150 & k=50& k- 20. ( unsure)

Please assist me here thanks
 
Re: Equations involving fractions

taragbeh said:
Need some help here thanks

1/5k + 5= 1/6k- 10

I got three answers so I am unsure if i am doing the right thing. my answers are K=150 & k=50& k- 20. ( unsure)

Please assist me here thanks
Is your problem

1/(5k) + 5= 1/(6k) - 10

or

1/(5k + 5) = 1/(6k- 10)

or

something else...

Please share with us your work - how you got those answers - so that we know where to begin to help you.
 
Re: Equations involving fractions

my question is 1/5 k + 5 = 1/6 k- 10

so therefore i multiply by 30

30(1/5 k) + 30(5) = 30 (1/6 k)- 30(10)

2k +150=5k-300

2k-5k=-150-300 ( combine like terms)
-3k=-450 ( divide by -3)

ans is k=150

Thats how I got 150

But I am not sure if my procedures are correct especially with the first step of finding the LCM. Please advise
 
Re: Equations involving fractions

taragbeh said:
my question is 1/5 * k + 5 = 1/6 * k- 10

so therefore i multiply by 30 <<<< Correct

30(1/5 k) + 30(5) = 30 (1/6 k)- 30(10)

2k +150=5k-300 <<<< 30 x (1/5) = 6 not 2

2k-5k=-150-300 ( combine like terms)<<<< Correct step

-3k=-450 ( divide by -3)<<<< Correct step

ans is k=150<<<< Correct step

Except for the step indicated above - everything else is okay

Thats how I got 150

But I am not sure if my procedures are correct especially with the first step of finding the LCM. Please advise

You can check your answer by putting back the calculated value of 'k' into the original equation. You calculated k = 150,

putting it back into the equation:

Left-hand-side

1/5 * 150 + 5

= 35

Right-hand-side

1/6 * 150 - 10

= 15 ...... does not match LHS - probably wrong
 
Re: Equations involving fractions

Ok i am lost. how do you come up with the 6 and 2 where you highlighted"?
 
taragbeh said:
Ok i am lost. how do you come up with the 6 and 2 where you highlighted"?
The tutor "came up with" 6 by correctly multiplying 30 and 1/5. You were the one who "came up with" 2; the tutor had merely copied what you'd posted, in order to highlight the error and correct it.

Eliz.
 
Re:

stapel said:
taragbeh said:
Ok i am lost. how do you come up with the 6 and 2 where you highlighted"?
The tutor "came up with" 6 by correctly multiplying 30 and 1/5. You were the one who "came up with" 2; the tutor had merely copied what you'd posted, in order to highlight the error and correct it.

Eliz.


Ok I saw my error but the answer will be -450 . Is that correct?
 
taragbeh said:
Ok I saw my error but the answer will be -450 . Is that correct?
What did you get, when you plugged "-450" back into the original equation?

Eliz.
 
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