Oblicz układ równań liniowy z trzema niewiadomymi.
2x-y+z=2
x+2y+z=4
-x+y+2z=2
i to wszystko w klamrze jest
POMOCYYY DAMM NAJJJ PLISKAAA :()
2x-y+z=2
x+2y+z=4
-x+y+2z=2
2x - y + z = 2
x = 4 - 2y - z
-x + y + 2z = 2
2(4- 2y - z) - y + z = 2
x = 4- 2y - z
-4 + 2y + z + y + 2z = 2
8 - 4y - 2z - y +z = 2
x = 4- 2y - z
3y + 3z = 6/ :3
-5y - z = -6
x = 4- 2y - z
y + z = 2
-5y - z = -6
x = 4- 2y - z
y = 2 - z
-5(2 - z) - z = -6
x = 4 - 2(2 - z) - z
y = 2 -z
-10 + 5z - z = -6
x = 4 - 4 + 2z - z
y = 2 -z
4z = 4 /:4
x = z
y = 2 - z
z = 1
x = 1
y = 2 - 1 = 1
{z=2+y-2x
{x+2y+2+y-2x=4
{-x+y+4+2y-4x=2
{z=2+y-2x
{3y-2=x
{-5x+3y=-2
{z=2+y-2x
{3y-2=x
{-15y+10+3y=-2
{z=2+y-2x
{3y-2=x
{-12y=-12
{z=2+y-2x
{3y-2=x
{y=1
{z=2+y-2x
{x=1
{y=1
Odp.
{z=1
{y=1
{x=1