Answer
no real solution.
Work Step by Step
1. Multiply 3 to the 2nd equation and add to the 1st, we have $7/x^4=63$, thus $x^4=1/9$ and $x=\pm\frac{\sqrt 3}{3}$
2. Use the 2nd equation, we have:
$2/(1/9)-2/y^4=19$ or $y^4=-2$, thus the system has no real solution.
