\(\frac{x}{3}=\frac{5}{y}\)
\(\Rightarrow xy=5\cdot3\)
\(\Rightarrow xy=15\)
\(\Rightarrow x;y\inƯ\left(15\right)\)
\(Ư\left(15\right)=\left\{1;-1;3;-3;5;-5;15;-15\right\}\)
Ta có bảng sau :
x | 1 | - 1 | 3 | - 3 | 5 | - 5 | 15 | - 15 |
y | 15 | - 15 | 5 | - 5 | 3 | - 3 | 1 | - 1 |
Vậy
\(\frac{x}{3}=\frac{5}{y}\)
\(\Rightarrow xy=3.5\)
\(\Rightarrow xy=15\)
\(\Rightarrow x;y\in\text{Ư}_{\left(15\right)}\)
\(\text{Ư}_{\left(15\right)}=\text{ }\left\{1;-1;3;-3;5;-5;15;-15\right\}\)
lập bảng giá trị
\(x\) | \(1\) | \(-15\) | \(-1\) | \(15\) | \(3\) | \(-3\) | \(-5\) | \(5\) |
\(y\) | \(15\) | \(-1\) | \(-15\) | \(1\) | \(5\) | \(-5\) | \(-3\) | \(3\) |
vậy .............