The solution for the following set of equations is,

$$5x+4y+102=13$$

$$x+3y+z=7$$

$$4x2y+z=0$$

1. $x=2,y=1,z=1$
2. $x=1,y=2,z=0$
3. $x=1,y=0,z=2$
4. $x=0,y=1,z=2$