Помогите! Найдите xyz, если x+y+z=6, x-y+z=4 и z+y-x=0

Question

Ника Курганова · Accepted Answer

Ответ. x+y+z=6, x-y+z=4; z+y-x=0;2*z=4; z=2; 2*x+2*z=10; 2*x+4=10; x=3; y=1;

Елена Пилипак · Answer

{ x + y + z = 6, 
{ x - y + z = 4 
{ z + y - x = 0
=>

{ x + y + z = 6, 
{ x - y + z = 4 => { x - y = 4 - z
{ x - y - z = 0 => { x - y = z => 4 - z = z => z = 2
=>
{ x + y + 2 = 6 => { x + y = 4
{ x - y + 2 = 4 => { x - y = 2 => 2x = 6 => x = 3
{ x - y - 2 = 0 => y = x - 2 = 3 - 2 = 1