I = I1 + I2
V1 = 5 I1
V2 = 8 I2
V + V2 = 0
V1 - V2 = 17

Use the above equations to find the linear relationship between I and V: I = aV + b

Anyone know how to do these problems because I'm terrible at them.
I'll elaborate on this more later, but this looks like a classical problem to solve with row echelon and reduced row-echelon form. Have you tried that yet?
I tried to look it up but I am not so sure about how to do that. Someone else tipped me off that maybe I should use substitution.
Mexi1010 wrote:
I tried to look it up but I am not so sure about how to do that. Someone else tipped me off that maybe I should use substitution.

So you have:

Code:
```I = I1 + I2 V1 = 5 I1 V2 = 8 I2 V + V2 = 0 V1 - V2 = 17 ```

This is five equations and [I1 I2 I V1 V2 V] give variables. That means you cannot solve completely. We'll start with the rref matrix:

Code:
```   I I1 I2  V V1 V2 =  N [  1 -1 -1  0  0  0    0 ] [  0 -5  0  0  1  0    0 ] [  0  0 -8  0  0  1    0 ] [  0  0  0  1  0  1    0 ] [  0  0  0  0  1 -1   17 ]```

Now you run reduced row-echelon on that. It's easy to do by hand, but I'll use a trusty TI-84+. I just write in that matrix as [A] and run rref([A]:

Code:
```[1 0 0 0 0 -0.325 3.4 ] [0 1 0 0 0 -0.2   3.4 ] [0 0 1 0 0 -0.125   0 ] [0 0 0 1 0 1        0 ] [0 0 0 0 1 -1      17 ]```

This tells us (if I made no errors) that I-0.325*V2 = 3.4 and that V-V2 = 0. Therefore, V2=V, and by simple substitution, I-0.325*V = 3.4. Tell me if this makes sense (and please double-check my math).

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