Solve the following systems of equations:

$152x-378y=-74$
$-378x+152y=-604$

$x-y+z=4$

$x-2y-2z=9$

$2x+y+3z=1$

Solve the following equations:

$21x+47y=110$; $47x+21y=162$

Find the values of $x$ and $y$ in the following rectangle.
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