Answer
$(x,y)=(0,0)$.
Work Step by Step
The augmented matrix is
$\begin{bmatrix}
5&-1 &0 \\
0 & 2 & 0
\end{bmatrix}$.
For the linear equation.
First column $=$ coefficients of $x$.
Second column $=$ coefficients of $y$
and third column $=$ the right-hand side.
The given matrix is a upper triangular form.
Rewrite the second row as a linear equation.
$\Rightarrow 0x+2y=0$
$\Rightarrow 2y=0$
Divide the equation by $2$.
$\Rightarrow \frac{2y}{2}=\frac{0}{2}$
Simplify.
$\Rightarrow y=0$
Rewrite the first row as a linear equation.
$\Rightarrow 5x-1y=0$
$\Rightarrow 5x-y=0$
Substitute $y=0$.
$\Rightarrow 5x-(0)=0$
Clear the parentheses.
$\Rightarrow 5x=0$
Divide both sides by $5$.
$\Rightarrow \frac{5x}{5}=\frac{0}{5}$
Simplify.
$\Rightarrow x=0$
The solution set is $(x,y)=(0,0)$.
