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

Toán Lớp 7: 3/7 . x – ¼ = 1/28 | 2 x – 1/3 | – 1/3 = 1 x-1/2 = 3/-4 x/2 = y/3 ; y/4 = z/5 và x+y-z=20

Toán Lớp 7: 3/7 . x – ¼ = 1/28
| 2 x – 1/3 | – 1/3 = 1
x-1/2 = 3/-4
x/2 = y/3 ; y/4 = z/5 và x+y-z=20

Comments ( 1 )

  1. a) 3/7 * x-1/4=1/28
    <=> 3/7 * x=1/28+1/4 
    <=> 3/7 * x=2/7
    <=> x=2/7 : 3/7
    <=> x=2/3
    Vậy x=2/3 
    b) |2x-1/3|-1/3=1
    <=> |2x-1/3|=1+1/3
    <=> |2x-1/3|=4/3
    <=> \(\left[ \begin{array}{l}2x-\frac{1}{3}=\frac{4}{3}\\2x-\frac{1}{3}=-\frac{4}{3}\end{array} \right.\) <=> \(\left[ \begin{array}{l}2x=\frac{5}{3}\\2x=-1\end{array} \right.\)
    <=> \(\left[ \begin{array}{l}x=\frac{5}{6}\\x=\frac{-1}{2}\end{array} \right.\)
    Vậy x={5/6;-1/2} 
    c) x-1/2=-3/4 (\frac{3}{-4}=\frac{-3}{4})
    <=> x=-3/4+1/2
    <=> x=-1/4
    Vậy x=-1/4
    d) 
    (1) x/2=y/3 <=> x/8=y/12
    (2) y/4=z/5 <=> y/12=z/15
    Từ (1) và (2), ta có:
    x/8=y/12=z/15
    Theo tính chất của dãy tỉ số bằng nhau, ta có:
    x/8=y/12=z/15 <=>\frac{x+y-z}{8+12-15}=20/5=4
    => x/8=4 => x=8*4=32
          y/12=4 => y=12*4=48
          z/15=4 => z=15*4=60
    Vậy x;y;z=32;48;60 

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