Question

Розв'яжи систему рівнянь методом підстановки

Answer 1

Ответ:

15; 12

Объяснение:

Условие не записываю, сразу решение.

z+m-3z+3m=18

2z-m-6z-4m=-120

-2z+4m=18 (умножим на -2)

-4z-5m=-120

4z-8m=-36

-4z-5m=-120

-13m   =   -156;    m=12

-2z+12*4=18;  -2z=18-48;   -2z=-30;  z=15

Answer 2

$\displaystyle\bf\\\left \{ {{\dfrac{z+m}{9}-\dfrac{z-m}{3} =2 } \atop {\dfrac{2z-m}{6}-\dfrac{3z+2m}{3}=-20 }} \right. \\\\\\\left \{ {{\dfrac{z+m}{9}\cdot 9-\dfrac{z-m}{3} \cdot 9=2\cdot 9 } \atop {\dfrac{2z-m}{6}\cdot 6-\dfrac{3z+2m}{3}\cdot 6=-20 \cdot 6 }} \right. \\\\\\\left \{ {{z+m-3\cdot(z-m)=18} \atop {2z-m-2\cdot(3z+2m)=-120}} \right. \\\\\\\left \{ {{z+m-3z+3m=18} \atop {2z-m-6z-4m=-120}} \right. \\\\\\\left \{ {{4m-2z=18} \atop {-5m-4z=-120} \right.$

$\displaystyle\bf\\\left \{ {{2m-z=9} \atop {-5m-4z=-120}} \right. \\\\\\\left \{ {{z=2m-9} \atop {-5m-4\cdot(2m-9)=-120}} \right. \\\\\\\left \{ {{z=2m-9} \atop {-5m-8m+36=-120}} \right. \\\\\\\left \{ {{z=2m-9} \atop {-13m=-156}} \right. \\\\\\\left \{ {{z=2\cdot 12-9} \atop {m=12}} \right. \\\\\\\left \{ {{z=15} \atop {m=12}} \right. \\\\\\Otvet \ : \ z=15 \ ; \ m=12$