Answer
$x=6$ and $y=-\frac{1}{2}$
Work Step by Step
$x+4y=4$
$3x-2y=19$ $/\times(2)$
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$x+4y=4$
$6x-4y=38$
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$7x=42$
$x=\frac{42}{7}$
$x=6$
For $x=6$...
$6(1)+4y=4$
$4y=-2$
$y=\frac{-2}{4}$
$y=-\frac{1}{2}$