Answer
$\{(3y+2,y)\}$ (or $\{(x,\frac{1}{3}(x-2))\}$), $dependent$, and $are\ identical$.
Work Step by Step
When we get $10=10$, this means that the system of equations has an infinite set of solutions. From the equation, we have $x=3y+2$ or $y=\frac{1}{3}(x-2)$. Thus the solution set can be expressed as $\{(3y+2,y)\}$ or $(x,\frac{1}{3}(x-2))$. We have a special term for such equations: $dependent$ equations. When graphing such equations, we will end up with lines that $are\ identical$. To summarize, the answers to this question are $\{(3y+2,y)\}$ (or $\{(x,\frac{1}{3}(x-2))\}$), $dependent$, and $are\ identical$.
