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\(x\cdot y=8\)
\(\Rightarrow x;y\inƯ\left(8\right)\)
\(\Rightarrow x;y\in\left\{-1;1;-2;2;-4;4;-8;8\right\}\)
\(\left(x-2\right)\left(y+3\right)=15\)
\(\Rightarrow\left(x-2\right);\left(y+3\right)\inƯ\left(15\right)\)
\(\Rightarrow\left(x-2\right);\left(y+3\right)\in\left\{-1;1;-3;3;-5;5-15;15\right\}\)
ta có bảng :
x-2 | -1 | 1 | -3 | 3 | -5 | 5 | -15 | 15 |
y+3 | -15 | 15 | -5 | 5 | -3 | 3 | -1 | 1 |
x | 1 | 3 | -1 | 5 | -3 | 7 | -13 | 17 |
y | -18 | 12 | -8 | 2 | -6 | 0 | -4 | -2 |
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Vì \(x.y=x-y\)
\(\Rightarrow x.y+2x+y=x-y+2x+y\)
\(\Rightarrow\) \(x-y+2x+y=1\)
\(\Leftrightarrow\left(x+2x\right)+\left(-y+y\right)=1\)
\(\Leftrightarrow3x+0=1\)
\(\Rightarrow3x=1\)
\(\Rightarrow x=\dfrac{1}{3}\)
Thay \(x=\dfrac{1}{3}\) ta có:
\(\dfrac{1}{3}.y+2.\dfrac{1}{3}+y=1\)
\(\Leftrightarrow\left(\dfrac{1}{3}.y+y\right)+2.\dfrac{1}{3}=1\)
\(\Leftrightarrow y\left(\dfrac{1}{3}+1\right)+\dfrac{2}{3}=1\)
\(\Leftrightarrow y.\dfrac{4}{3}+\dfrac{2}{3}=1\)
\(\Rightarrow\dfrac{4y}{3}=1-\dfrac{2}{3}\)
\(\Rightarrow\dfrac{4y}{3}=\dfrac{1}{3}\)
\(\Rightarrow4y=1\)
\(\Rightarrow y=\dfrac{1}{4}\)
Vậy \(x=\dfrac{1}{3}\) và \(y=\dfrac{1}{4}\)
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x=-3 ; y=-4 hoặc x=-4; y=-3
các bạn cho mk vài li-ke cho tròn 760 với
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Suy ra x.y-x-y=0
x.(y-1)-y=o
x.(y-1)-y+1=0+1
x.(y-1)-(y-1)=1
(x-1).(y-1)=1
Suy ra (x-1;y-1) thuộc-1;1
suy ra x y thuộc0;2
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\(\Rightarrow x\left(y+1\right)+\left(y+1\right)=6\)
\(\Rightarrow\left(x+1\right)\left(y+1\right)=6\)
\(\Rightarrow6⋮x+1\Rightarrow x+1\inư\left(6\right)\Rightarrow x+1\in\left\{-6;-3;-2;-1;1;2;3;6\right\}\)
Lập bảng tìm x,y
x+1 | -6 | -3 | -2 | -1 | 1 | 2 | 3 | 6 |
x | -7 | -4 | -3 | -2 | 0 | 1 | 2 | 5 |
y+1 | -1 | -2 | -3 | -6 | 6 | 3 | 2 | 1 |
y | -2 | -3 | -4 | -7 | 5 | 2 | 1 | 0 |
Đánh giá | thỏa mãn | thỏa mãn | thỏa mãn | thỏa mãn | thỏa mãn | thỏa mãn | thỏa mãn | thỏa mãn |
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1) x.(y - 2) + (y - 2) = 6
=> (x + 1)(y - 2) = 6 = 1 . 6 = 6. 1 = -1 . (-6) = -6 . (-1) = 2 . 3 = 3 . 2 = -2 . (-3) = (-3) . (-2)
Lập bảng :
x + 1 | 1 | -1 | 6 | -6 | 2 | -2 | 3 | -3 |
y - 2 | 6 | -6 | 1 | -1 | 3 | -3 | 1 | -1 |
x | 0 | -2 | 5 | -7 | 1 | -3 | 2 | -4 |
y | 8 | -4 | 3 | 1 | 5 | -1 | 3 | 1 |
Vậy ...
1, x.(y+1)+2.(y+1)=7
(x+2).(y+1)=7
Ta có bảng
x+2 | 1 | -1 | 7 | -7 |
y+1 | 7 | -7 | 1 | -1 |
x | -1 | -3 | 5 | -9 |
y | 6 | -8 | 0 | -2 |
Vậy ...
bạn ơi lên mạng tìm nha bạn có nhiều lắm
k tui nha
thanks