Answer
$x = 2$, $y = -2$, or $(2,-2)$
Work Step by Step
Given:
$4x + 2y = 4$
$6x + 2y = 8$
Subtract the first equation, $4x + 2y = 4$, from the second, $6x + 2y = 8$:
$6x + 2y - (4x + 2y) = 8 - (4)
\\6x +2y-4x-2y=4
\\(6x - 4x) + (2y - 2y) = 4
\\2x=4$
Divide both sides by $2$:
$x = 2$
Substitute $x = 2$ back into first equation:
$4x + 2y = 4
4(2) + 2y = 4
\\8+2y=4
\\2y=4-8
\\2y=-4$
Divide both sides by $2$:
$y = -2$
Thus, $x = 2$, $y = -2$
