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Please help me solve the following...?

10/7k +11/7 - 2k +2/7 + 2/7k -6=

I know I have to group the like terms, so this is what i have so far:

(10/7 + 2/7+ 2)k + (11/7 +2/7 -6)

now this is where i am getting lost, I am confused on how to add the fractions to whole numbers. I have looked over the chapter in my book and i must be missing where it explains how to do this.

Update:

Sorry didn't mean to leave it out....the instruction is to Simplify the problem (Do not factor). Does this make a difference.

and if so, can you please explain how you came up with the answer. I must be missing a rule somewhere along the line.

Thank you

2 Answers

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  • 1 decade ago

    you havent mentioned the rhs of the question...

    if its zero then here it goes:

    (10/7+2/7+2)k+(11/7+2/7-6)=0

    or,( ( 10 + 2 + 7 * 2 ) / 7 ) k + ( ( 11 + 2 - 6 * 7 ) / 7 )[here lcm of denominator is 7. So u have to multiply the numerator without the denominator with the lcm n add it with the rest of the numerators. the denominator remains the same)

    or,( ( 12 + 14 ) / 7 ) k + ( ( 13 - 42 ) / 7 ) = 0

    or,( 26 / 7 ) k + ( - 29 / 7 ) = 0

    or,( 26 / 7 ) k = ( 29 / 7 ) [when a constant with minus sign in lhs goes to rhs it becomes positive..hope u know that]

    or,26 k = 29 [ here ,i have cancelled the denominator 7 on both sides]{confusion,reply!}

    Therefore,k=29 / 26

    if u have confusion in ny steps, reply!!

  • Anonymous
    1 decade ago

    -2/7k -31/7, but from the solution i was able to get, this cant possibly be the original problem, you have to solve for something, not just a one-sided messed up problem, mixing fractions, and whole numbers

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