Write as a Vector Equality x+2y=8 , -x-2y=8

Problem

{[x+2*y=8],[−x−2*y=8])

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 sum of these products to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[−1]]+y*[[2],[−2]]=[[8],[8]]

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