Write as a Vector Equality -x+3y=6 , x-3y=6

Problem

{[−x+3*y=6],[x−3*y=6])

Solution

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

2. Separate the variables into a scalar-vector product where x and y multiply their respective coefficient vectors.

3. Equate the linear combination of these vectors to the vector containing the constants from the right-hand side of the equations.

4. Express the system in the form x*(v_1)+y*(v_2)=b

Final Answer

x*[[−1],[1]]+y*[[3],[−3]]=[[6],[6]]

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