[tex]\left\{\begin{array}{ccc}4x+2y=0\\3x-y=-10\end{array}\right\\\\4x+2y=0\qquad\text{subtract 4x from both sides}\\\\2y=-4x\qquad\text{divide both sides by 2}\\\\\boxed{y=-2x}\\\\for\ x=0\to y=-2(0)=0\to(0,\ 0)\\\\for\ x=2\to y=-2(2)=-4\to(2,\ -4)\\\\3x-y=-10\qquad\text{subtract 3x from both sides}\\\\-y=-3x-10\qquad\text{change the signs}\\\\\boxed{y=3x+10}\\\\for\ x=-2\to y=3(-2)+10=-6+10=4\to(-2,\ 4)\\\\for\ x=-4\to y=3(-4)+10=-12+10=2\to(-4,\ 2)\\\\\text{Look at the picture}\\\\Answer:\ \boxed{(-2,\ 4)}[/tex]
