I might have outsmarted myself a bit with the speakers. I was looking for Edifier R1200T or perhaps R1600 - both of which are a pair of speakers, not subwoofers and satellites. What I bought instead was the R1000 - also a pair of speakers, not a subwoofer and satellites - but the on/off switch is on the back. The volume and treble/bass knobs are too. You see, I shan't be leaving these speakers on. I shall turn them on and off as needed, and shall otherwise leave them connected.
I found, you see, that Windows 7, and presumably all other Windows'z, requires you under Sound settings to elect a default device. This is the device that will play the sound by default, and if, as I have, you have a set of speakers on your desk, and a bluetoothed set of speakers in the other room, it turns out only one can be the default. There's a trick you can do that allows both sets of speakers to operate at the same time. The price is you lose your microphone. But the price of not doing the trick is you have to reset the default device every time you want to switch speaker systems. So, instead of that,
the trick:
Open Sound panel
Select Speakers as the default playback device
Go to the "Recording" tab
Right click and enable "Show Disabled Devices"
A recording device called "Wave Out Mix", "Mono Mix" or "Stereo Mix" (this was my case) should appear
Right click on the new device and click "Enable"
Right click on the new device and click "Set as Default Device"
Double click on the new device to open the Properties window
Go to the "Listen" tab
Click on the "Listen to this device" checkbox
Select your [Bluetooth Audio Adapter] device from the "Playback through this device" list
And in this way, both sets of speakers play whatever is coming out of the computer. Switching speaker systems is just a matter of turning one on and the other off. Having the on/off switch on the back of the speaker might turn out to be irritating. We shall see. Presently, with the bluetooth'd set on the other side of the wall from the laptop, sound seems to be playing as it should.
Boom.