Answer:
Option C.
Step-by-step explanation:
Equation of line Q is
[tex]2x+y=11[/tex]
We need to find the equation which complete the system that is satisfied by the solution (3,5).
It means the equation of line must be true for (3,5).
First equation is,
[tex]x+2y=15[/tex]
Check the equation for (3,5).
[tex](3)+2(5)=3+10=13\neq 15[/tex]
It means option A is incorrect.
Similarly check the oher options.
[tex]x+y=15\Rightarrow (3)+(5)=8\neq 15[/tex]
[tex]x+y=8\Rightarrow (3)+(5)=8[/tex]
[tex]x-y=2\Rightarrow (3)-(5)=-2\neq 2[/tex]
Only equation [tex]x+y=8[/tex] is true for (3,5).
Hence the correct option is C.
