Question

ДАЮ 40 БАЛЛОВ!!! ПРОШУ!!!

Answer 1

$\displaystyle \left \{ {{\frac{z+v}{6}-\frac{z-v}{3}=1 } \atop {\frac{2z-v}{6}-\frac{3z+2v}{3}=-13 }} \right. \\\\\left \{ {{z=-6+3v} \atop {\frac{2z-v}{6}-\frac{3z+2v}{3}=-13 }} \right.\\ \\\frac{2(-6+3v)-v}{6}-\frac{3(-6+3v)+2v}{3}=-13\\ \\v=6\\ z=-6+3*6\\z=12\\(v,z)=(6,12)$

Answer 2

$\displaystyle\bf\\\left \{ {{\dfrac{z+v}{6} -\dfrac{z-v}{3} =1} \atop {\dfrac{2z-v}{6} -\dfrac{3z+2v}{3} =-13}} \right. \\\\\\\left \{ {{\dfrac{z+v}{6} \cdot 6-\dfrac{z-v}{3}\cdot 6 =1\cdot 6} \atop {\dfrac{2z-v}{6} \cdot 6-\dfrac{3z+2v}{3}\cdot 6 =-13\cdot 6}} \right. \\\\\\\left \{ {{z+v-(z-v)\cdot 2=6} \atop {2z-v-(3z+2v)\cdot 2=-78}} \right. \\\\\\\left \{ {{z+v-2z+2v=6} \atop {2z-v-6z-4v=-78}} \right. \\\\\\\left \{ {{-z+3v=6} \atop {-4z-5v=-78}} \right.$

$\displaystyle\bf\\\left \{ {{z=3v-6} \atop {-4\cdot(3v-6)-5v=-78}} \right. \\\\\\\left \{ {{z=3v-6} \atop {24-12v-5v=-78}} \right. \\\\\\\left \{ {{z=3v-6} \atop {-17v=-102}} \right. \\\\\\\left \{ {{z=3\cdot 6-6} \atop {v=6}} \right.\\\\\\\left \{ {{z=18-6} \atop {v=6}} \right. \\\\\\\left \{ {{z=12} \atop {v=6}} \right.$

$\displaystyle\bf\\Otvet:\\\\\boxed{z=12}\\\\\boxed{v=6}$