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Solve for: (x-4)/(x-5)+(x-6)/(-x-7)=10/...

Solve for: `(x-4)/(x-5)+(x-6)/(-x-7)=10/3; x!=5,7`

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Given,
`(x-4)/(x-5)+(x-6)/(x-7)=10/3`
`=>((x-4)(x-7)+(x-6)(x-5))/((x-5)(x-7))=10/3`
`=>(x^2-11x+28+x^2-11x+30)/(x^2-12x+35)=(10)/3`
`=>(2x^2-22x+58)/(x^2-12x+35)=(10)/3`
...
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Knowledge Check

  • Solve for x : (x)/(5 ) + (x)/(7) = 12

    A
    70
    B
    140
    C
    35
    D
    105

  • Solve for x : (x)/(5) + (x)/(7) = 12

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    70
    B
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  • Solve for x : (3x -2)/(5x + 7) = (1)/(12)

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    `-4`
    B
    3
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    1
    D
    `-2`

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