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## Homework Statement

## Homework Equations

KCL: Σi = 0

KVL: Σv = 0

## The Attempt at a Solution

Using KCL:

15 = (v1)/8 + (v2)/4

Using KVL:

(v1) - (v2) = (I2)R + 10 (v1) - (v2) = (I2)2 + 10

(I2) = (v1)/8

(v1) - (v2) = (2)((v1)/8) + 10 (v1) - (v2) = (v1)/4 + 10

Now there are two variables and two equations.

Solve second equation for v1. (8)(15) = v1 + 2(v2) v1 = 120 -2(v2) Plug into first equation.

120 -2(v2) -v2 = (120 -2(v2))/4 + 10

120 - 3(v2) = 30 -.5(v2) + 10

120 -2.5(v2) = 40

-2.5(v2) = -80

v2 = 32

This could then be plugged back into either of the first equations to solve for v1. However, according to the solution in the back of the textbook, v2 = 40V not 32. What have I done wrong?