The Circuit Shown Below, Let Use Nodal Analysis to Find $V _ { 1 } , V _ { 2 }$

Essay

the circuit shown below, let $$V _ { \mathrm { s } 1 } = 6 \mathrm {~V} , \mathrm {~V} _ { \mathrm { s } 2 } = 1 \mathrm {~V} , \mathrm { R } _ { 1 } = 1 \mathrm { k } \Omega , \mathrm { R } _ { 2 } = 1.5 \mathrm { k } \Omega , \mathrm { R } _ { 3 } = 2.5 \mathrm { k } \Omega , \mathrm { R } _ { 4 } = 1.2 \mathrm { k } \Omega , \mathrm { R } _ { 5 } = 800 \Omega$$
Use nodal analysis to find $V _ { 1 } , V _ { 2 }$ , and $V _ { 3 }$ .