Can someone please explain the solution to a nodal analysis problem to me?

[naivy]

Homework Statement

Homework Equations

V=IR, Nodal Analysis

The Attempt at a Solution

1 and 2 in the diagram are the nodal equations. Considering that the left node is V₁ and that the right node is V₂. I don't know how to get from the nodal equations to step 3. I know that you go from step 3 to step 4 using V=IR.

I tried solving the nodal equations to get to step 3...

Can someone please work it out for me? Thank you

Please help

 

[berkeman]

Homework Statement

Homework Equations

V=IR, Nodal Analysis

The Attempt at a Solution

1 and 2 in the diagram are the nodal equations. Considering that the left node is V₁ and that the right node is V₂. I don't know how to get from the nodal equations to step 3. I know that you go from step 3 to step 4 using V=IR.

I tried solving the nodal equations to get to step 3...

Can someone please work it out for me? Thank you

Please help

You write Ix in terms of V1 and the resistance that Ix flows through, and substitute that into the 2nd equation. Then just solve the 1st and 2nd equations simultaneously for V2.

Does that help? Or are you having trouble with the mechanics of solving equations 1 & 2 simultaneously?