Write as a Vector Equality 2y-6z=-30 , -y-z=-1

Problem

{[2*y−6*z=−30],[−y−z=−1])

Solution

1. Identify the variables and their coefficients in the system of linear equations.

2. Express the system as a linear combination of vectors by separating the terms associated with each variable y and z

3. Factor out the variables y and z to create a vector equation where the variables act as scalars multiplying the coefficient vectors.

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

Final Answer

y*[[2],[−1]]+z*[[−6],[−1]]=[[−30],[−1]]

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