Write as a Vector Equality -x-4y=-8 , x+4y=8

Problem

−x−4*y=−8,x+4*y=8

Solution

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

2. Group the coefficients of x into one vector and the coefficients of y into another vector.

3. Represent the constants on the right side of the equations as a single resultant vector.

4. Combine these components into a single vector equation where the variables x and y act as scalars multiplying their respective coefficient vectors.

Final Answer

x*[[−1],[1]]+y*[[−4],[4]]=[[−8],[8]]

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