Answer
$(4,-3)$ is a solution of the system.
Work Step by Step
The given system of linear inequalities is.
$\Rightarrow y\leq -x+1$ ...... (1)
$\Rightarrow y\leq 5x-2$ ...... (2)
Substitute $4$ for $x$ and $-3$ for $y$ in each inequality.
Inequality (1)
$\Rightarrow y\leq -x+1$
$\Rightarrow -3\leq -(4)+1$
$\Rightarrow -3\leq -4+1$
$\Rightarrow -3\leq -3$
True.
Inequality (2)
$\Rightarrow y\leq 5x-2$
$\Rightarrow -3\leq 5(4)-2$
$\Rightarrow -3\leq 20-2$
$\Rightarrow -3\leq 18$
True.
$(4,-3)$ satisfy each inequality.
Hence, $(4,-3)$ is a solution of the system.
