Write as a Vector Equality x+7y=12 , -2x-5y=3

Problem

{[x+7*y=12],[−2*x−5*y=3])

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 constant vector formed by the values on the right side of the equations.

Final Answer

x*[[1],[−2]]+y*[[7],[−5]]=[[12],[3]]

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