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 to form the column vectors.

2. Separate the variables into a linear combination where each variable scales a vector of its corresponding coefficients.

3. Write the right-hand side constants as a single resultant vector.

4. Combine these elements into a single vector equation of the form x*(v_1)+y*(v_2)=b

Final Answer

x*[[1],[−1]]+y*[[−3],[3]]=[[3],[−3]]

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