Write as a Vector Equality x+y=11 , x-y=2

Problem

{[x+y=11],[x−y=2])

Solution

1. Identify the coefficients of the variables x and y in each equation of the system.

2. Express the system as a linear combination of two column vectors, where each vector contains the coefficients of one variable.

3. Assign the constants from the right side of the equations to a single result vector.

4. Combine these components into a single vector equation.

Final Answer

x*[[1],[1]]+y*[[1],[−1]]=[[11],[2]]

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