Write as a Vector Equality x-y=7 , 2x-2y=k

Problem

{[x−y=7],[2*x−2*y=k])

Solution

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

2. Represent the system as a linear combination of vectors by grouping the coefficients of x into one vector and the coefficients of y into another vector.

3. Set the resulting vector sum equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[1],[2]]+y*[[−1],[−2]]=[[7],[k]]

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