Pre-Calculus

Solve the equation 2x + 5y - 3z = -1. Write the general solution as a matrix equation.

[x] [ ] [1]
[y]= [ ] X [s]
[z] [ ] [t]

I'm supposed to fill in that blank in the middle, but I don't understand how to solve this if I'm only given one equation. please explain

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  1. [x] [...] [1]
    [y]= [...] X [s]
    [z] [...] [t]

    to align it better I put dots in the blanks...and I think s and t are free variables that be be any real number

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  2. okay i put it wrong I'm sorry the question said

    Convert to the Alternate form (Exponential INTO logarithm)

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  3. (2 5 -3) (x y z)T = -1

    The transpose is for readability, since it has to be a column vector.

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  4. I still don't really understand how to do it...

    I did some guessing and ended up getting this much:

    [x] [-1/2 _ _] [1]
    [y]= [0 1 0] X [s]
    [z] [0 0 1] [t]

    however I still can't figure out the last two values in the first row.

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