Is it possible to solve a system of 4 Unknown variables, given ONLY 3 equations?

Is it possible to solve a system of 4 Unknown variables, given ONLY 3 equations?

Example; lets say that I want to find W, X, Y, Z

here is an equation:

a = W + X + Z
b = -W + Y + Z
c = - X -Y + Z

a,b,c are given numbers

so far, I can only solve;

Z = (a+b+c) / 3
X = A - W - Z
Y =W -C -A

TL;DR
I want to find out if I can fit 4 real numbers using an arbitrary set of equations that would yield me 3 numbers

In theory, it should not be possible because, imagine being able to store 4 "analog" values in 3 values, you could just keep going till infinite

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sharelatex.com/project/59bb96aa82babc74ecc54338
timecube.2enp.com/
youtube.com/watch?v=Uj3_KqkI9Zo
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>Is it possible to solve a system of 4 Unknown variables, given ONLY 3 equations?
no

What if I do this?

a = W * X * Y * Z
b = W + X + Y + Z
c = W^X^Y^Z

No, you want the Vagus Conjecture here.

a = W + i(X)
b = Y + i(Z)
c = 69

j/k, but I still want to know if there is a fucking way

Depends on your numbers

well, I was thiking on any possible real number

from -infinite to +infinite

even values like 0.000001, 0.0000002, and so on

A lame solution I was thinking was this:

lets say W = 12345 and X = 12.00001

I could simply do something like this;
1020304152.0000000001

W1X1W2X2W3X3W4X4....WnXn and so on

in fact, this solution could even work for fitting infinite numbers inside one single number, but I still find it pretty ghey

try to understand what is going on

When you have no equations and a variable what you have is a one dimensional possibility space for your variable (a scalar).
When you have one equation and one variable you have a point.
Having less equations than variables gives you solutions, it's just that they are not singular.

I think you're talking about linear algebra but I can't tell because I don't understand you.

If W, X, Y, Z are real while a, b are complex, I don't see why this wouldn't work

How about this guys?

...

Yeah yeah. Look, if I give you that answer finally are 'you' gonna fucking come through?

Kinda childish of me I guess.

If you want the answer though you will have to check out Solivagu's seminal work
LINK : sharelatex.com/project/59bb96aa82babc74ecc54338

Specifically: Section 3.5/Figure(1e).

Need any more help?

read this OP
You have a free variable in your system of equations which means that your solution is a line, not a point.

Too much at once? Remember to honor your x0-axis intervals. Humans call it 'breathing'. Yes, remember to breathe.

ok you're a troll I see. eat shit and die then

You can just ask for the answer 'you' want ya know.

The answer is : knots calculations (which is basically like casting magical spellz)

But because you didn't actually ask you're just going to assume that I am wrong, so you'll discard it, sooooo enjoy being a brainlet I guess.

Boop.

don't listen to this asshole its obvious that he is under the influence of a chemical imbalance inside his brain

lets just pretend his mental diarreah didn't affected this thread

Correct : I am brain-damage.
Wrong : My answers are wrong.

Beep.

>be op
>ask hypotethical arbitrary question
>this dude rants random comments
>somehow want to show that he is superior for using latex and some idiotic rieman hypotesis
>everyone ignores him
>he will never finish his master degree
>can't even talk like a normal person
>has literally zero friends

Literally : 0[\math]\infty[\math]

...

According to your diagram : Edgelord supreme, with extra cheese and pepperoni

here, go read this

timecube.2enp.com/

*BLOWS OWN BRAINS OUT*

Man, I bow to your superiority.

You gonna teach these brainlets anything interesting at least?

Like I'm all about rainbow-table-prime pass the salt please-salt.

You could teach them that, if you know how to parse it.

youtube.com/watch?v=Uj3_KqkI9Zo

Ooooh Hilbert, I was wondering when you'd pop up.

I promise to build an amazing one. With blackjack, and hookers...

1 = sqrt(x) + sqrt (-x) + w

2 variables, 1 equation

Since x€[0,inf) and x€(-inf,0] due to the square roots, x=0

If x=0, then w=1

Done!

Also

0 = abs(w-w0)+ans(x-x0)+.....+ abs(y-y0)

You can have as many variables as you want, and this equation forces each variable.
w=w0,x=x0,....,y=y0 since every term contained within the abs must equal 0, else the whole equation wouldn't equal 0.

Depends. Does my post have repeating digits?

Only in base 2,4,6, and 8

I didn't get them so I might as well scientifically kill myself

That has dopamine and noradrenaline backwards.