Verified Answer :

Hippalectryon

Multiply the first equation by 2, that gives you the second.
Any x,y works.

x+5y=4
2x+10y=8

x=-5y+4

2(-5y+4) +10y=8                            substituted in the equation for x 
-10y+8+10y=8                              distributed
8=8                                             combined like terms (-10y+10y)
0=0               

MANY SOLUTIONS/INFINITE

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