Answer
$(1,-2)$ is not a solution of the linear system.
Work Step by Step
The given system of linear equations.
$2x+y=0$ ...... (1)
$-x+2y=5$ ...... (2)
The given solution is $(1,-2)$.
Substitute $1$ for $x$ and $-2$ for $y$ in each equation.
Equation 1:
$\Rightarrow 2x+y=0$
$\Rightarrow 2(1)+(-2)=0$
$\Rightarrow 2-2=0$
$\Rightarrow 0=0$
True.
Equation 2:
$\Rightarrow -x+2y=5$
$\Rightarrow -(1)+2(-2)=5$
$\Rightarrow -1-4=5$
$\Rightarrow -5=5$
False.
Hence, $(1,-2)$ is not a solution of the linear system.
