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

Problem

−x−2*y=−4,x+2*y=4

Solution

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

2. Represent the system as a linear combination of two-dimensional vectors, where each vector corresponds to a variable.

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

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

Final Answer

x*[[−1],[1]]+y*[[−2],[2]]=[[−4],[4]]

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