Write as a Vector Equality x+y=5 , 2x-y=4

Problem

{[x+y=5],[2*x−y=4])

Solution

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

2. Separate the system into a linear combination of vectors by grouping the terms associated with x and the terms associated with y

3. Factor out the scalars x and y from their respective vectors to express the system as a single vector equation.

4. Equate the resulting vector sum to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[2]]+y*[[1],[−1]]=[[5],[4]]

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