Why do systems of nonlinear equations sometimes have more than one solution

System has equal number of unknowns and equations.

Manipulation easily yielded expressions for 4 of the 7 unknowns.

However it seems that the remaining 3 unknowns x,y,z are not fixed by the equations. Different combinations (x0,y0,z0) seem possible without violating the system equations.

Is this possible, or did I most probably make a mistake in counting degrees of freedom?

Step-by-step explanation:

the thermometer is precise but not accurate

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!