Answer
No solution
Work Step by Step
We are given
$x+y=11$
$\rightarrow y=-x+11$
The slope is $-1$. The y-intercept is $11$.
$x+y=16$
$\rightarrow y=-x+16$
The slope is $-1$, and the y-intercept is $16$.
The lines have the same slopes and different y-intercepts. The equations are inconsistent. The lines are parallel. Therefore, this system has no solution.
