Verified Answer :

The solution is (6, -8) (solved by graphing with Desmos.com/calculator)

Answer:

x=6, y=8

Step-by-step explanation:

First, we can put the sytem of equations in standard form, it holds that

\(y-\dfrac{1}{3}x=-10\\\\\\y+2x=4\)

then, we can substract the second equation from the first equation to get that

\((\dfrac{-1}{3}-2)x=-10-4\quad\Rightarrow\quad \dfrac{-7}{3}x=-14\\\\\quad\Rightarrow\quad x=6\)

Finally, we use this result in the first equation to get that

\(y-\dfrac{1}{3}\cdot 6=-10\quad\Rightarrow\quad y-2=-10\quad\Rightarrow y=8\)