#### Answer

Ans: $x_{1}=0, x_{2}=0$

#### Work Step by Step

Step 1: Put $2x_{2}$ to one side
First equation:
$x_{1}-2x_{2}=0$
$2x_{2}=x_{1}$
Second equation:
$6x_{1}+2x_{2}=0$
$2x_{2}=-6x_{1}$
Step 2: The term on the other side of $2x_{2}$ will be equal, so make an equation and solve $2x_{1}$
$x_{1}=-6x_{1}$
$7x_{1}=0$
$x_{1}=0$
Step 3: Substitute $x_{1}$ to equation in Step 1 to solve $x_{2}$
$0-2x_{2}=0$
$x_{2}=0$