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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: Tìm `x` `a) ` `(x-1)/(x+5) = 6/7 ( x \ne 5)` `b)` `(x-2)/(x-1) = (x+4)/(x+7)` ““ ““ ““

Toán Lớp 7: Tìm x
a)
(x-1)/(x+5) = 6/7 ( x \ne 5)
b)
(x-2)/(x-1) = (x+4)/(x+7)

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a, ĐK: x ne 5
    (x-1)/(x+5) = 6/7
    => 6x + 30 = 7x – 7
    => 30 + 7 = 7x – 6x
    => 37 = x ( TM )
                      Vậy x = 37
    b, (x-2)/(x-1) = (x+4)/(x+7)
    => x^2 + 7x – 2x – 14 = x^2 + 4x – x – 4
    => x^2 + 5x – 14 = x^2 + 3x – 4
    => x^2 – x^2 + 5x – 14 = 3x – 4
    => 5x – 14 = 3x – 4
    => 5x – 3x = 14 – 4
    => 2x = 10
    => x = 5
                  Vậy x = 5 

  2. a) $\dfrac{x-1}{x+5}$ = $\dfrac{6}{7}$ (x $\ne$ 5)
    <=> 7(x-1)=6(x+5)
    <=> 7x-7-6x-30=0
    <=> x-37=0
    <=> x=37 ™
    Vậy x=37
    b) $\dfrac{x-2}{x-1}$ = $\dfrac{x+4}{x+7}$
    <=> (x-2)(x+7)=(x-1)(x+4)
    <=> $x^{2}+7x-2x-14=x^{2}+4x-x-4$
    <=> $x^{2}+5x-14-x^{2} -4x+x+4=0$
    <=> $2x-10=0$
    <=> $x=5$
    Vậy x=5

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222-9+11+12:2*14+14 = ? ( )

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