Answer
No solution
Work Step by Step
$x/2 + y/4 = 1$
$-x/4 - y/8 = 1$
$x/2 + y/4 = 1$
$4*(x/2 + y/4 = 1)$
$2x+y=4$
$-x/4 - y/8 = 1$
$8*(-x/4 - y/8 = 1)$
$-2x-y=8$
$2x+y=4$
$-2x-y=8$
$-2x-y+(2x+y)=8+4$
$2x-2x+y-y = 12$
$0=12$
This is a false statement, so there are no solutions.