Решите систему уравнения {1/3х+1/5у=11 {3/5х-2у=8

[latex] \left \{ {{ \frac{1}{3}x+ \frac{1}{5}y=11}\atop{ \frac{3}{5}x-2y =8}} \right. [/latex] [latex] \left \{ {{ \frac{1}{3}x*10+ \frac{1}{5}*10 =11*10} \atop { \frac{3}{5} =8}} \right. [/latex]⇒[latex] \left \{ {{ \frac{10}{3}x+2y=110} \atop { \frac{3}{5}x-2y =8}} \right. [/latex] [latex] \frac{10}{3}x+ \frac{3}{5}x=118 [/latex] [latex] \frac{10*5}{3*5}x+ \frac{3*3}{5*3}x=118 [/latex] [latex] \frac{50+9}{15}x=118 [/latex] [latex] \frac{59}{15}x=118 [/latex] [latex]x=118: \frac{59}{15} [/latex] [latex]x=118* \frac{15}{59} [/latex] [latex]x=30[/latex] [latex] \frac{10}{3}*30+2y=110 [/latex] [latex]100+2y=110[/latex] [latex]2y=110-100[/latex] [latex]2y=10[/latex] [latex]y=5[/latex] Проверка:[latex] \left \{ {{ \frac{1}{3}*30+ \frac{1}{5}*5 =11} \atop { \frac{3}{5}*30-2*5 =8}} \right. [/latex]⇒[latex] \left \{ {{10+1=11} \atop {18-10=8}} \right. [/latex] Ответ:x=30; y=5