Question

Решите систему .......

Answer 1

$left {begin{array}{lcl} {{frac{v}{5}+frac{y}{2}=5;;|cdot10} \\ {frac{v}{4}-frac{y}{3}=0,5;;|cdot 12}}end{array} right. \\\left {begin{array}{lcl} {{2v+5y=50;;|cdot3} \ {3v-4y=6;;;,|cdot2}}end{array} right. \\left {begin{array}{lcl} {{6v+15y=150} \ {6v-8y=12}}end{array} right.\\left {begin{array}{lcl} {{6v+15y-(6v-8y)=150-12} \ {6v-8y=12}}end{array} right.\\left {begin{array}{lcl} {{23y=138} \ {6v-8y=12}}end{array} right.$

$left {begin{array}{lcl} {{y=6} \ {6v-8cdot6=12}}end{array} right.\\left {begin{array}{lcl} {{y=6} \ {6v=60 ;;Rightarrow v = 10}}end{array} right.$

Ответ: v = 10, y = 6