Answer
$(2,6)$ is a solution of the linear system.
Work Step by Step
The given system of linear equations.
$x+y=8$ ...... (1)
$3x-y=0$ ...... (2)
The given solution is $(2,6)$.
Substitute $2$ for $x$ and $6$ for $y$ in each equation.
Equation 1:
$\Rightarrow x+y=8$
$\Rightarrow 2+6=8$
$\Rightarrow 8=8$
True.
Equation 2:
$\Rightarrow 3x-y=0$
$\Rightarrow 3(2)-6=0$
$\Rightarrow 6-6=0$
$\Rightarrow 0=0$
True.
Hence, $(2,6)$ is a solution of the linear system.
