Answer
$(2,0)$
Work Step by Step
$4x-2y=8$ Equation $(1)$
$y= 3x-6$ Equation $(2)$
Substituting $y$ from Equation $(2)$ in Equation $(1)$
$4x-2y=8$
$4x-2(3x-6)=8$
$4x-6x+12 = 8$
$-2x+12 = 8$
$-2x = 8 -12$
$-2x = -4$
$x = \frac{-4}{-2}$
$x = 2$
Substituting $x$ value in Equation $(2)$ to get $y$
$y= 3x-6$
$y= 3(2)-6$
$y= 6-6$
$y = 0$
Solution: $(2,0)$