Question

MÌNH CẢM MƠM RẤT NHÌU

Answer 1

\(x-y+2xy=3\)

\(\Rightarrow x+2xy-y=3\)

\(\Rightarrow x\left(1+2y\right)-y=3\)

\(\Rightarrow2x\left(1+2y\right)-2y=6\)

\(\Rightarrow2x\left(1+2y\right)-2y-1=5\)

\(\Rightarrow2x\left(2y+1\right)-\left(2y+1\right)=5\)

\(\Rightarrow\left(2x-1\right)\left(2y+1\right)=5\)

Ta có bảng sau: \(\left(x,y\in Z\right)\)

\(2x-1\)	1	5	-1	-5
\(2y+1\)	5	1	-5	-1
x	1	3	0	-2
y	2	0	-3	-1

Vậy cặp số \(\left(x;y\right)\) là \(\left(1;2\right);\left(3;0\right);\left(0;-3\right);\left(-2;-1\right)\)

Answer 2

\(x-y+2xy=3\)

\(\Leftrightarrow2x-2y+4xy=6\)

\(\Leftrightarrow2x-1+4xy-2y=5\)

\(\Leftrightarrow\left(2x-1\right)+2y\left(2x-1\right)=5\)

\(\Leftrightarrow\left(2x-1\right)\left(2y+1\right)=5\)

Lập bảng: