Ta có :
\(2x3y=42\)
\(\Rightarrow6xy=42\)
\(\Rightarrow xy=42:6\)
\(\Rightarrow xy=7\)
Do \(x;y\inℤ\)
\(\Rightarrow x;y\inƯ\left(7\right)\)
\(\Rightarrow x;y\in\left\{\pm1;\pm7\right\}\)
Ta có bảng sau :
\(x\) | \(1\) | \(7\) | \(-1\) | \(-7\) |
\(y\) | \(7\) | \(1\) | \(-7\) | \(-1\) |
Vậy \(\left(x,y\right)\in\left\{\left(1,7\right);\left(7,1\right);\left(-1,-7\right);\left(-7,-1\right)\right\}\)
~ Ủng hộ nhé