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anonymous

  • 4 years ago

how do i solve u=3x+1/2x+5 for x... show work pls

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  1. myininaya
    • 4 years ago
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    \[u=\frac{3x+1}{2x+5}\] Multiply (2x+5) on both sides.

  2. anonymous
    • 4 years ago
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    got that far

  3. myininaya
    • 4 years ago
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    \[(2x+5)u=3x+1\] Distribute! \[2x u +5 u =3x +1\]

  4. myininaya
    • 4 years ago
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    put terms with u on one side and terms without u on the other side

  5. anonymous
    • 4 years ago
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    alright, then haha?

  6. myininaya
    • 4 years ago
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    \[2 x u-3 x= 1- 5u\] sorry i wrote that backwards terms with x on one side and terms without x on the other

  7. myininaya
    • 4 years ago
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    now factor \[x(2 u -3) =1- 5u\]

  8. myininaya
    • 4 years ago
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    \[x=\frac{1 - 5u}{2u -3}\]

  9. anonymous
    • 4 years ago
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    got it. thank you :D

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