Question

{1/5x-1/9y=2/3, {2x-3y=1​

Answer 1

$\displaystyle \left \{ {{\frac{1}{5}x-\frac{1}{9}y=\frac{2}3} } \atop {2x-3y=1}} \right. \\\\\left \{ {{x=\frac{10}{3}+\frac{5}{9}y } \atop {2x-3y=1}} \right. \\\\2(\frac{10}{3}+\frac{5}{9}y)-3y=1\\ \\y=3\\ \\x=\frac{10}{3}+\frac{5}{9}*3\\ \\x=5\\ (x,y)=(5,3)$