How do I approach this ideal op-amp problem?
simulate this circuit &ndash; Schematic created using CircuitLab

Because the Op-amps are ideal. 

KCL at node 1 : 

(0-V1)/10 + (0-Vout1)/5 + (0-V2)/10 = 0 

&lt;=>  -V1 -2Vout1 -V2 = 0                (1)

KCL at node 2 : 

(0-Vout1)/5 + (0-V2)/12 =0

&lt;=> Vout1 = -5/12 V2                    (2)

Sub (2) into (1) we have : 

-V1 + (5/6)V2   - V2 = 0

=> V1 = -1/6 V2
&lt;=> V2 = -6 V1