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

Problem

{[−4*x+y=4],[4*x−y=4])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Separate the terms involving x and the terms involving y into distinct vector products.

3. Express the system as a linear combination of vectors where the variables x and y act as scalars.

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

Final Answer

x*[[−4],[4]]+y*[[1],[−1]]=[[4],[4]]

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