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

Problem

{[x+y=6],[x−y=2])

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. Express the system as a linear combination of vectors equal to the constant vector on the right side.

4. Combine the coefficient vectors into a single matrix-vector product form if required for a standard vector equality.

Final Answer

x*[[1],[1]]+y*[[1],[−1]]=[[6],[2]]

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