Problem $1$:

a$)$ Determine the contribution of the $1$ A current source to the voltage V x in the circuit above. b$)$ Determine the contribution of the $5$ V voltage source to the voltage V x in the circuit above. c$)$ Using the results of parts a$)$ and b$),$ determine the voltage V x with both sources $$ON$.$ d$)$ If the voltage source were replaced with a $3$ V source, positive polarity on bottom, and the current source were replaced with a $2\mathrm{.}5$ A source, direction up$,$ use the properties of linearity to determine the value of V x under those conditions.

Ans: a$)$ V$$ x $=9\mathrm{.}189$ V; b$)$ V$$ x $=2\mathrm{.}703$ V; c$)$ V x $=6\mathrm{.}486$ V; d$)$ V x $=24\mathrm{.}594$ V$.$