Write as a Vector Equality x+y=12 , x-y=0

Problem

{[x+y=12],[x−y=0])

Solution

1. Identify the variables and coefficients in the system of linear equations.

2. Represent the left-hand side as a product of a coefficient matrix and a vector of variables ([x],[y])

3. Extract the constants from the right-hand side to form the constant vector.

4. Combine these components into a single matrix-vector equation of the form A*x=b

Final Answer

([1,1],[1,−1])*([x],[y])=([12],[0])

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