MHB Can someone solve this System, (1equation, 3 variables)

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The equation -2x - 9y + 3z = -8 was analyzed, and the parameters provided were x = 4 - 4.5s + 1.5t, y = s, and z = t. The user reported that their database indicated the solution was incorrect. Responses confirmed that the derived parameters are correct, suggesting that the issue lies elsewhere, possibly in the full problem statement or requirements. Further clarification on the complete problem is needed to resolve the discrepancy.
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-2x - 9y + 3z = -8

I set parameters, and i get

x= 4 - 4.5s + 1.5t
y = s
z = t

But the database I'm using says it's incorrect...
 
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ends said:
-2x - 9y + 3z = -8

I set parameters, and i get

x= 4 - 4.5s + 1.5t
y = s
z = t

But the database I'm using says it's incorrect...

Welcome to MHB, ends! :)

What you write is correct.
There is no problem there.
So if your database says it's incorrect, the mistake must be somewhere else.

Can you give us the full problem statement?
What is asked exactly?
 
Thread 'How to define a vector field?'

Thread 'How to define a vector field?'

Hello! In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way: I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true? And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...
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