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horsegirl27

  • one year ago

help please

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  1. horsegirl27
    • one year ago
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    Solve for x: 2/3(x-2)=4x I get confused when there are fractions :/ please help :)

  2. horsegirl27
    • one year ago
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    Answer choices: -2/5 -5/2 2/5 5

  3. horsegirl27
    • one year ago
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    @pooja195

  4. pooja195
    • one year ago
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    Anytime you see paretheses we need to see if we can distribute \[\huge~\rm~2/3(x-2)=4x\] can we?

  5. anonymous
    • one year ago
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    divide it, the answer is 5?

  6. horsegirl27
    • one year ago
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    yes

  7. horsegirl27
    • one year ago
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    So 2/3x -1 1/3=4x?

  8. pooja195
    • one year ago
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    something is not right \[\huge~\rm~( 2 /3 )(x)+( 2/ 3 )(−2)=4x(Distribute)\]

  9. anonymous
    • one year ago
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    sorry my mistake the answer is - 2/5

  10. pooja195
    • one year ago
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    @chris88 it would help if you explained your answer. @horsegirl27 what is 2/3*-2?

  11. horsegirl27
    • one year ago
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    ohhh i see my mistake, -1 1/3?

  12. pooja195
    • one year ago
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    turn that into an IMPROPER fraction

  13. pooja195
    • one year ago
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    \[\huge~\rm~2 /3 x+ −4 /3 =4x\]

  14. pooja195
    • one year ago
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    whats the next step?

  15. pooja195
    • one year ago
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    Subtract 4x from both sides. \[\huge~\rm~2 /3 x-4x+ −4 /3 =4x-4x\] \[\huge~\rm~-10/3-4/3=0\] Add 4/3 to both sides. \[\huge~\rm~-10/3+4/3 −4 /3 =0+4/3\] \[\huge~\rm~−10/ 3 x= 4/ 3\] multiply by the reciprocal (flip fraction to 3/-10) \[\rm~( 3 −10 )*( −10 /3 x)=( 3/ −10 )*( 4 /3 )\]

  16. pooja195
    • one year ago
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    once you do that you get your answer

  17. anonymous
    • one year ago
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    i dunno whether is correct or not, below is my solution: 2/3 = 4x / (x-2) 2(x-2) = 12x 2x - 4 = 12 x -4 = 12x-2x -4 = 10x x= 4/-10 x = -2/5

  18. TheSmartOne
    • one year ago
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    \(\sf\Large\frac{2}{3}(x-2)=4x\) Multiply by the reciprocal of \(\sf\Large \frac{2}{3}\) on both sides. The reciprocal of \(\sf\Large \frac{a}{b}\) is \(\sf\Large \frac{b}{a}\)

  19. TheSmartOne
    • one year ago
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    After you tell me what you get, we can move on to the next step :P

  20. horsegirl27
    • one year ago
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    Sorry, my computer froze! xD

  21. anonymous
    • one year ago
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    yes, the smart one solution of reciprocal method is right :)

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