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

Toán Lớp 6: Tìm x, y nguyên để: 3xy – 2x + y = 29

Toán Lớp 6: Tìm x, y nguyên để:
3xy – 2x + y = 29

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    3xy – 2x + y = 29
    6xy – 4x + 2y = 58
    (6xy – 4x) + (2y – 2) = 56
    2x(2y – 2) + 1(2y – 2) = 56
    (2y – 2)(2x + 1) = 56
    => (2y – 2) ; (2x + 1) in Ư(56) = {±1 : ±2 ; ±4 ; ±7 ; ±8 ; ±14 ; ±28 ; ±56}
    ta có bảng sau : 
    \begin{array}{|c|c|c|}\hline \text{2y-2}&\text{1}&\text{-1}&\text{2}&\text{-2}&\text{4}&\text{-4}&\text{7}&\text{-7}&\text{8}&\text{-8}&\text{14}&\text{-14}&\text{28}&\text{-28}&\text{56}&\text{-56}\\\hline \text{2x + 1}&\text{56}&\text{-56}&\text{28}&\text{-28}&\text{14}&\text{-14}&\text{8}&\text{-8}&\text{7}&\text{-7}&\text{4}&\text{-4}&\text{2}&\text{-2}&\text{1}&\text{-1}\\\hline \text{x}&\text{∅}&\text{∅}&\text{∅}&\text{∅}&\text{∅}&\text{∅}&\text{∅}&\text{∅}&\text{3}&\text{-4}&\text{∅}&\text{∅}&\text{∅}&\text{∅}&\text{0}&\text{-1}\\\hline \text{y}&\text{∅}&\text{∅}&\text{2}&\text{0}&\text{3}&\text{-3}&\text{∅}&\text{∅}&\text{5}&\text{-5}&\text{8}&\text{-8}&\text{15}&\text{-15}&\text{29}&\text{-29}\\\hline\end{array}
    Vậy các cặp số x,y là : 

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    3xy-2x+y=29
    3xy-x+y=29*2
    3xy-x+y= 29
    xy-x+y   = 29*3
     xy               =87
     

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

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