Write as a Vector Equality 2x-y+7z=-8 , 6x-8y+3z=2 , 9y-3z=-6

Problem

{[2*x−y+7*z=−8],[6*x−8*y+3*z=2],[9*y−3*z=−6])

Solution

1. Identify the coefficients of the variables x y and z for each equation in the system.

2. Represent the system as a linear combination of constant vectors scaled by the variables x y and z

3. Align the terms such that the first vector contains coefficients of x the second contains coefficients of y and the third contains coefficients of z

4. Equate the resulting vector sum to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[2],[6],[0]]+y*[[−1],[−8],[9]]+z*[[7],[3],[−3]]=[[−8],[2],[−6]]

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