Nodal Analysis for Electrical Engineering Homework Help

[akshaymaharaj]

Homework Statement

Im a first electrical eng student learning nodal analysis.I require help with a specific problem from fundementals of electric circuits.Please explain step by step as i am new to this.Please see the attachment for the problems.
I am finding it hard to express the voltages across the 2k and 5k resistors.
Any help would be greatly appreciated!.Thanks in advance!

Homework Equations

The Attempt at a Solution

 

[Saitama]

Hello akshay! Welcome to PF!
The forum rules says that the OP needs to show his/her attempt before asking for help on the problem.
Did you try to apply KCL or KVL? There is even a shorter method too to solve this problem.

 

[akshaymaharaj]

ive tried applying it but can't seem to understand how to get the voltage across the 2k and 5k resistors please help!.Im begging.

 

[scootypuffsnr]

i think u take the node at the top and maybe the top equals vo
so at the node so you have (vo-30)/2k+(vo-20)/5k+vo/4k
or something like that, I am not really sure I am a first year engineering student too :)

 

[CWatters]

eg Apply KCL at the top node.