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

Toán Lớp 8: Tìm nghiệm nguyên `9-x-2xy+3y=0`

Toán Lớp 8: Tìm nghiệm nguyên
9-x-2xy+3y=0

Comments ( 2 )

  1. 9 – x – 2xy + 3y = 0
    <=> -x – 2xy + 3y = -9
    <=> -2(-x – 2xy + 3y) = -2(-9)
    <=> 2x + 2x. 2y – 6y = 18
    <=> (2x + 2x. 2y) – 6y – 3 = 18 – 3
    <=> 2x(1 + 2y) – (6y + 3) = 15
    <=> 2x(2y + 1) – 3(2y + 1) = 15
    <=> (2x – 3)(2y + 1) = 15 = 1. 15 = (-1). (-15) = 3. 5 = (-3). (-5)
    Vì x, y in mathbb Z nên ta có bảng sau:
    Trong ảnh
     Vậy
    (x, y) in {(2; 7), (9; 0), (1; -8), (-6; -1), (3; 2), (4; 1), (0; -3), (-1; -2)}

    toan-lop-8-tim-nghiem-nguyen-9-2y-3y-0

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