Question

Determine a solução do sistema 2x + y -2z = -2 / y + z = 2 / 3x -2z = -1

Answer 1

2x+y-2z=-2
y+z=2
2x-2z=-1

Y+z=2 z=2-y

2x+y-2z=-2 2x=-2-y+2 (2-y
x=2-3y/2

2x-2z=-1 2(2-3y/2)-2(2-y)=-1
4-6y/2-4-2y=-1 4-6y-4-2y=-2
-8y=-2 y=2/8 y=1/4

Y+z=2 1/4+z=2 z=8-1 z=7

2x-2z=-1 x=2z-1/2 x=13/2 ou x=6,5