Write as a Vector Equality 2x+2y=16 , -2x+2y=12

Problem

{[2*x+2*y=16],[−2*x+2*y=12])

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 these column vectors, where x and y act as scalar weights.

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

Final Answer

x*[[2],[−2]]+y*[[2],[2]]=[[16],[12]]

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