Write as a Vector Equality x+y=1 , x-y=-2

Problem

{[x+y=1],[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. Equate this linear combination to the column vector containing the constants from the right side of the equations.

Final Answer

x*[[1],[1]]+y*[[1],[−1]]=[[1],[−2]]

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