Write as a Vector Equality x+y=6 , x-y=-2

Problem

{[x+y=6],[x−y=−2])

Solution

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

2. Represent the left side of the system as a linear combination of two column vectors, where each vector contains the coefficients of one variable.

3. Set this linear combination equal to the column vector containing the constants from the right side of the equations.

4. Combine the terms into a single vector equation format.

Final Answer

x*[[1],[1]]+y*[[1],[−1]]=[[6],[−2]]

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