Q$2$

a$.$ Consider the circuit on the right.

The independent sources have the

following values: $V_S=x,I_{S1}=Y$

and $I_{S2}=Z,$ but you are not told

what $x,Y$ and $Z$ are.

Find the Thevenin equivalent

resistance between A and $B.$

b$.$ We now add voltage source $V_x$ to the circuit, as shown below. You are also told:

If $V_S=0V,I_{S1}=Y,I_{S2}=0$A and $V_x=10V,$ we find $i_x=I_1.$

If $V_S=\frac{x}{2},I_{S1}=0A,I_{S2}=\frac{Z}{2}$ and $V_x=0V,$ we find $i_x=I_2.$

Consider $V_S=x,I_{S1}=Y,I_{S2}=Z,$ and $V_x=10V.$ What is $i_x$ in this case?

c$.$ What is $i_x$ when $V_S=x,I_{S1}=Y,I_{S2}=Z$ and $V_x=22V?$

$($Hint: you can solve this using part a and b$)$

I need help with only PART C of this question. The answer is $2$A but im not so sure how they got to solve it