Answer
$(8,2)$ is not a solution of the linear system.
Work Step by Step
The given system of linear equations.
$x-y=6$ ...... (1)
$2x-10y=4$ ...... (2)
The given solution is $(8,2)$.
Substitute $8$ for $x$ and $2$ for $y$ in each equation.
Equation 1:
$\Rightarrow x-y=6$
$\Rightarrow 8-2=6$
$\Rightarrow 6=6$
True.
Equation 2:
$\Rightarrow 2x-10y=4$
$\Rightarrow 2(8)-10(2)=4$
$\Rightarrow 16-20=4$
$\Rightarrow -4=4$
False.
Hence, $(8,2)$ is not a solution of the linear system.