Question

Resolva o sistema 3x+2y+z=3
2x+y+z=2

Answer 1

3x+2y+z=3
2x+y+z=2 (-1)


3x+2y+z=3
-2x-y-z=-2 (+)
.......,...................
x+y=1
x=1+y

3(1+y)+2y+z=3
3y+3+2y+z=3
5y+z=3-3
5y+z=0
z=-5y

-2x-y-z=-2
-2(1+y)-y-(-5y)=-2
-2-2y-y+5y=-2
2y=-2+2
y=0/2

y=0
z=0
x=1