Write as a Vector Equality 14x-21y+14z=2 , -21x+14y+7z=2

Problem

{[14*x−21*y+14*z=2],[−21*x+14*y+7*z=2])

Solution

1. Identify the coefficients of the variables x y and z in each equation to form the column vectors.

2. Extract the scalar variables x y and z to write the system as a linear combination of vectors.

3. Set the linear combination equal to the vector formed by the constants on the right side of the equations.

4. Construct the final vector equality by grouping the coefficients into vectors multiplied by their respective variables.

Final Answer

x*[[14],[−21]]+y*[[−21],[14]]+z*[[14],[7]]=[[2],[2]]

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