Answer :

[x=1]
[y=2]
[z=4]
11y-10x
=11(2) - 10(1)
=22-10
=12
x+y+z=7.........(1)  
2x-y+z=4........(2)

y+z=7-x.........(3)
put the value of eqn (3) in eq (2)
2x-7-x=4
therefore, x=11
now as given  11y-10x=? ..........(4)
put the value of x in eqn(4)
11y-10*11=0
therefore, y=10
now put the value of x & y in eqn (1)
11+10+z=7
z=-14