Write as a Vector Equality x+y=4 , x-y=6

Problem

{[x+y=4],[x−y=6])

Solution

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

2. Express the system as a linear combination of vectors by multiplying each variable by its corresponding vector of coefficients.

3. Equate the resulting vector sum to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[1]]+y*[[1],[−1]]=[[4],[6]]

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