Question

solve for k.
1/8k + -6/5=4- -1/7k

Answer 1

Can you write that with parentheses or the equation editor? It isn't clear what you mean.

Answer 2

\[\frac{ 1 }{ 8 }k + \frac{ -6 }{5} = 4- \frac{ -1 }{7} \]

Answer 3

Okay, you can try to make a common denominator, or you could do the brute force approach which is to simply multiply each term by the product of all of the denominators (8*5*7). After you do that, you won't have any fractions left, and it should be easy to find the value of k. Try it, and I'll check your answer.

Answer 4

Oops, you dropped the k on the right hand side.

\[\frac{1}{8}k + \frac{-6}{5} = 4 - \frac{-1}{7}k\]

Answer 5

can you help by showing me step by step?

Answer 6

Okay, let's multiply everything by 8*5*7:
\[\frac{1}{8}k(8*5*7) + \frac{-6}{5}(8*5*7) = 4(8*5*7) - \frac{-1}{7}k(8*5*7)\]Then we cancel things out and get\[k*5*7-6*8*7 = 4*8*5*7+8*5*k\]or\[35k - 336 = 1120+ 40k\]Now subtract 35k from each side\[35k-35k-336 = 1120+40k-35k\]\[-336=1120+5k\]Subtract 1120 from each side\[-336-1120 = 1120-1120+5k\]\[5k=-1456\]Divide both sides by 5\[k=-\frac{1456}{5}\]

Which is pretty strange, and makes me a bit suspicious that the problem wasn't exactly the one to be solved.

Answer 7

But it *is* the answer to the problem we solved :-)

Answer 8

thank you ;'D ure awesome.

Answer 9

what did i do wrong for this next EQUATION?
\[\frac{ 1 }{ 2}x + \frac{ 1 }{ 4 }= -1 (\frac{ 5 }{ 6 }x +4)\]
answer i got. x =12/7

Answer 10

And you think the correct answer is?

Answer 11

x= 12/7

Answer 12

Wait, you said you got x= 12/7, but that it was wrong.

Answer 13

I don't think 12/7 is correct. How did you do the problem? What was your first step?

Answer 14

multipyling the common denomionator 2*4*6
like the problem before.

Answer 15

Okay, that's a good start. When I do that, I get
\[24x + 12 = -40x -192\]\[64x = -204\]

Answer 16

oh!!

Answer 17

so then the answer would be -3.187

Answer 18

Close, but not exactly. -3.1875.

Answer 19

Unless a numeric answer was requested (or this is a chemistry or physics problem), I personally would leave it as a simplified fraction, -51/16.

Answer 20

When in Rome, do as the Romans do...

Answer 21

\[1(x-2)+7=-7(x+2) solve x.\]

Answer 22

Okay, I would use the distributive property of multiplication to expand that.

\[a(b+c) = ab + ac\]

Then add and subtract terms from both sides to get x on one side, and a number on the other.

Answer 23

x= -2/15?

Answer 24

Well, if you put that back in the equation, do you get a true statement, or do you end up with something crazy, like 7 = 9?

Answer 25

actually i gott -19/8

Answer 26

That's better :-)

Answer 27

\[\frac{ 1 }{ 5 }x + \frac{ 1 }{3}=1(\frac{ 2 }{ 3 }x +2)\]
my answer come out to be 35/3?

Answer 28

Don't think so.

Answer 29

but its 5*3*3

Answer 30

Multiply both sides by 15, I get \[3x + 5 = 10x + 30\] which means x < 0

Answer 31

-25=7x
-25/7?

Answer 32

yes, that's correct

Answer 33

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Answer 40

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