\(3x+7=y\left(x-3\right)\)
\(\Rightarrow3x+7=xy-3y\)
\(3x-xy+3y=-7\)
\(x\left(3-y\right)+3y=-7\)
\(\Rightarrow-x.\left(y-3\right)+3y=-7\)
\(-x\left(y-3\right)+3y-9=-7-9=-16\)
\(-x\left(y-3\right)+3\left(y-3\right)=-16\)
\(\left(3-x\right)\left(y-3\right)=-16\)
\(\Rightarrow3-x;y-3\inƯ\left(-16\right)=\left\{-16;-8;-4;-2;-1;1;2;4;8;16\right\}\)
3-x | -16 | -8 | -4 | -2 | -1 | 1 | 2 | 4 | 8 | 16 |
x | 19 | 11 | 7 | 5 | 4 | 2 | 1 | -1 | -5 | -13 |
y-3 | 1 | 2 | 4 | 8 | 16 | -16 | -8 | -4 | -2 | -1 |
y | 4 | 5 | 7 | 11 | 19 | -13 | -5 | -1 | 1 | 2 |