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

Toán Lớp 7: tim x,y,z x/6=z/5,y/4=z/2 và 2x+3y-z

Toán Lớp 7: tim x,y,z
x/6=z/5,y/4=z/2 và 2x+3y-z

Comments ( 2 )

  1. Ta phân tích:
    +)$\dfrac{x}{6}$ = $\dfrac{z}{5}$-> $\dfrac{x}{12}$ = $\dfrac{z}{10}$
     +) $\dfrac{y}{4}$ = $\dfrac{z}{2}$ -> $\dfrac{y}{20}$ = $\dfrac{z}{10}$
    => $\dfrac{x}{12}$=$\dfrac{y}{20}$=$\dfrac{z}{10}$
    Áp dụng tính chất dãy tỉ số bằng nhau ta được:
    $\dfrac{x}{12}$=$\dfrac{y}{20}$=$\dfrac{z}{10}$=$\dfrac{2x+3y-z}{24+60-10}$=$\dfrac{-148}{79}$=-2
    Do đó, ta có:
    +)$\dfrac{x}{12}$ = -2 => x= 12.(-2) = -24
    +)$\dfrac{y}{20}$ = -2 => y= 20.(-2) = -40
    +)$\dfrac{z}{10}$ = -2 => z= 10.(-2) = -20
    Vậy x = -24 ; y = -40 ; z = – 20

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

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