Question

Решите систему .......

Answer 1

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

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

Ответ: v = 10, y = 6