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## Homework Statement

I've been trying this Q for a week now and still can't get the answer correct. I've used a lab and multisim to know what the answer should be but my equations are wrong.

see attached for circuit

## Homework Equations

## The Attempt at a Solution

node 3 is 0v because its on the ground

[tex] 0= (v_1-10)/4k7-v_1/10k-(v_2-v_1)/1k [/tex]

[tex] 0=(v_2-v_1)/1000-(v_2-v_4)/470-(v_2-v_4)/1000 [/tex]

[tex] 0=(v_4-v_2)1k-(v_4-v_2)/470-(v_4-5)/10000-v_4/10k [/tex]

That comes out to 9,8 and 7 volts respectively which is way off.

Thanks for any help.