Write as a Vector Equality x+y=13 , 4x+y=31

Problem

{[x+y=13],[4*x+y=31])

Solution

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

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

3. Assign the variables x and y as scalars multiplying their respective coefficient vectors.

4. Equate the sum of these scaled vectors to the vector containing the constants from the right side of the equations.

Final Answer

x*[[1],[4]]+y*[[1],[1]]=[[13],[31]]

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