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

Problem

x+2*y=6,−x−2*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. Set the resulting vector sum equal to the vector containing the constants from the right-hand side of the equations.

Final Answer

x*[[1],[−1]]+y*[[2],[−2]]=[[6],[−6]]

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