Solution:
Given the system of equations;
[tex]\begin{gathered} x+y+z=11..............equation1 \\ \\ y+z=9......................equation2 \\ \\ z=5.............................equation3 \end{gathered}[/tex]
Substitute equation 3 in equation 2;
[tex]\begin{gathered} y+z=9 \\ \\ y+5=9 \\ \\ y=9-5 \\ \\ y=4 \end{gathered}[/tex]
Substitute equation 3 and the value of y in equation 1;
[tex]\begin{gathered} x+y+z=11 \\ \\ x+4+5=11 \\ \\ x=11-4-5 \\ \\ x=2 \end{gathered}[/tex]
ANSWER:
[tex]x=2,y=4,z=5[/tex]
CORRECT OPTION: B
