The Circuit Shown Below $$\text { (a) Write a node equation at node } 1 \text { by summing the currents away from node } 1 .$$

the circuit shown below, $$\text { (a) Write a node equation at node } 1 \text { by summing the currents away from node } 1 .$$ (b) Write a node equation at node 2 by summing the currents away from node $2 .$
(c) Solve the equations to find $V _ { 1 }$ and $V _ { 2 }$ .
(d) Find the current through $\mathrm { R } _ { 1 }$ (including direction) and power dissipated on $\mathrm { R } _ { 1 }$ .