For all of the inverting amplifier stages, the non-inverting inputs are referenced to AGND. So are the two power supply filter capacitors. This is a clear indicator that AGND is the reference potential for both the signals and power rails. Because of this, the circuit will not work with a single power supply of any voltage. It requires bipolar supplies, such as +/-10 V (as indicated), +/-12 V, +/-15 V, or even +/-4 V, although that would limit the maximum signal amplitude before the onset of clipping.
The two supply voltages can be derived from a single voltage DC source, but they must appear at the connector as a plus voltage, a minus voltage, and a GND that is common for both. Since the circuit already has bulk decoupling (C650 and C651), this can be as simple as having two resistors in series between the +15 and its GND. The +15 connects to +10VA, the supply's GND connects to -10VA, and the junction of the resistors connects to AGND. NOTE - this works ***only*** if the +15 V supply output is completely "floating", with no reference to earth ground.
The two power supply voltages do not have to have the same magnitude. If you have supplies like +15 V and -9 V, the circuit should work fine. What is important is that the total of the two voltages is between the min and max values on the opamp datasheet.
In my experience, +/-10 V is more common in European circles than in the US. While not as common as +/-12, 15, or 18, I'd say it is one of the more common of the less common options.
Separate question: How is it that you are interacting with this board but do not have the correct power source? If the board already is in something, how is it powered?
ak