Dual network connections
eth0:
Address: 192.168.0.2
NetMask: 255.255.255.0
Gateway: 192.168.0.1

eth1:
Address: 192.168.1.2
NetMask: 255.255.255.0
Gateway: 192.168.1.1

Routing policy
* Transmit via eth0 when source address is 192.168.0.2
* Transmit via eth1 when source address is 192.168.1.2

Commands

# eth0
ifconfig eth0 192.168.0.2/24 up
ip rule add from 192.168.0.2 table 251
ip route add default via 192.168.0.1 dev eth0 src 192.168.0.2 table 251

# eth1
ifconfig eth1 192.168.1.2/24 up
ip rule add from 192.168.1.2 table 252
ip route add default via 192.168.1.1 dev eth1 src 192.168.1.2 table 252

Over!