I have a dsl line and a satalite wireless I use a router forthe dsl line.
I would like to be able to connect to both networks at the same time in order to increase online speed. DSL is too slow as well as the satalite network where I am to download large files. The router is able to handle the speed of both networks.

Never heard of that, or knew it was possible.
Hardwired should be Faster and more secure?
Sounds interesting,
Who makes it and what model?
I have used 3 ISDN lines for 1 Polycom Video conferencing.
I called it "Screaming" video, not "Streaming"?

I have 2 modems 1 for DSL and the other for the satalite and 1 router. Don't know that it is possible. Looking for answers as to if it is possible. Internet here (brazil) fastest is 33kb download with both connected it would give me about 66 kb. Router can handle the speed of both.

You need to look into Line Bonding, but I'm not sure it is possible between sat and DSL lines.
I is possible with two DSL lines from the same supplier.

Here is just one reference "line balancing"

Internet Load Balancing - Peplink

Specific products are designed for this as well as other options like failover etc.

Kiss, will this increase speeds for a single PC or just redundancy? Thanks

Here's more info about line bonding: Bonding ADSL Broadband Lines - Ask Our Expert

Instructions for various products really need to be looked at. In a "perfect" world there is a cost of internet service or a "metric".

Some can be set up as fail over and some will increase bandwidth by combining. You have to look at the rules provided.

It goes where the router goes and thus affects all PC's on the network.

There were some products out there that say had an ethernet connection and a fall-back dialup connection or DSL and dial-up fallback. Some might be T3 and fall back.

I found another product when I was looking into VPN for someone. I just don't remember who. They key point is that it's doable.

Priorities are also possible.

I know nothing about satellite and what I do "think" I know isn't encouraging. I thought I knew that some system require a PCI card and use a dial-up modem for up load. Clearly, this isn't standard.

Doing a bit of research, you can assign a metric to an interface to say a PC. By just changing the metric, you can force the PC to use another gateway. Registry entries, BTW. I never had a chance to test just read about the method.

Just like there are differences in "routers" and "real routers", switches and "managed switches", level 1, level 2 and level 3 switches.

There are differences in access points vs access pt/router combinations.

Read manuals.