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3x - xy - y + 2 = 0
x(3 - y) - y = -2
x(3 - y) + (3 - y) = -2 + 3
(x + 1)(3 - y) = 1
- x + 1 = 1 => x = 0
3 - y = 1 => y = 2
- x + 1 = -1 => x = -2
3 - y = -1 => y = 4
Vậy (x ; y) = (0 ; 2) ; (-2 ; 4)
3x-xy-y+x+2=0
(3x-xy)-y+2=0
x.(3-y)-y+2=0
x.(3-y)-3-y-1=0
(3-y).(x-1)-1=0
(3-y).(x-1)=1
đó xong phần tách rồi còn lại tự tính đi thọ nón
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x+y+xy+1=0
<=>x+xy+y+1=0
<=>x(y+1)+(y+1)=0
<=>(y+1)(x+1)=0
<=>y+1=0 hoặc x+1=0
<=>x=y=-1
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xy + x - 2x - 3 = 0
=> x(y + 1) - 2x = 3
=> x(y + 1) = 2x + 3
=> 2x + 3 chia hết cho x
=> 3 chia hết cho x
=> x thuộc {-1; 1; -3; 3}
Ta có bảng:
x | 1 | -1 | 3 | -3 |
y + 1 | 5 | -1 | 6 | 1 |
y | 4 | -2 | 5 | 0 |
Vậy...
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Ta có: \(xy+x-2y+3=x\left(y+1\right)-2y-2+5\)
\(=x\left(y+1\right)-2\left(y+1\right)+5\)
\(=\left(y+1\right)\left(x-2\right)+5\)
(y+1)(x+2)+5=0
nên (y+1)(x-2)=(-5)= (-1) * 5 =5 * (-1)= 1 * (-5) = (-1)*5
+ Nếu y+1 = -1 ; x-2= 5 -> y= -2 ; x =7
+ Nếu y+1 = 5 ; x-2=-1 -> y=4 ; x = 1
+ Nếu y+1 = 1 ; x-2=-5 -> y=0 ; x=-3
+ Nếu y+1= -5 ; x-2=1 -> y=-6 ; x=3
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