Write as a Vector Equality x-3y=3 , -x+3y=3

Problem

{[x−3*y=3],[−x+3*y=3])

Solution

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

2. Separate the system into a linear combination of constant vectors multiplied by the variables x and y

3. Express the left side as the sum of a vector containing x terms and a vector containing y terms.

4. Factor out the scalars x and y from their respective vectors to create the vector equation.

5. Equate the resulting linear combination to the vector of constants from the right side of the equations.

Final Answer

x*[[1],[−1]]+y*[[−3],[3]]=[[3],[3]]

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