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

Toán Lớp 7: x-1/=y-2/3=z-3/4 và x-2y+3z=14

Toán Lớp 7: x-1/=y-2/3=z-3/4 và x-2y+3z=14

Comments ( 2 )

  1. $\dfrac{x – 1}{2}$=$\dfrac{y – 2}{3}$=$\dfrac{z – 3}{4}$
    $\Rightarrow$$\dfrac{x – 1}{2}$=$\dfrac{2y – 4}{6}$=$\dfrac{3z – 9}{12}$
    = $\dfrac{x – 1 – 2y + 4 +3z – 9}{2 – 6 + 12}$
    = $\dfrac{14 – 6}{8}$= 1
    $\Rightarrow$ $\text{x= 3}$
    $\Rightarrow$ $\text{y =5}$
    $\Rightarrow$ $\text{z = 7}$

  2. #laviken#
    Áp dụng dãy tỉ số bằng nhau ta có:
    x-1/2=y-2/3=z-3/4
    =(x-1)-2(y-2)+3(z-3)/2-2.3+3.4
    =x-1-2y+4+3z-9/2-6+12
    =14-6/8=1
    $\Rightarrow$ x-1/2=1$\Rightarrow$ x-1=2$\Rightarrow$x=3
    $\Rightarrow$ y-2/3=1$\Rightarrow$y-2=3$\Rightarrow$y=5
    $\Rightarrow$ z-3/4=1$\Rightarrow$z-3=4$\Rightarrow$z=7
    Vậy x,y,z lần lượt là 3,5,7
     

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

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