Write as a Vector Equality x-y=3 , 2x-2y=6

Problem

{[x−y=3],[2*x−2*y=6])

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 constant vectors multiplied by the variables x and y

3. Extract the constants from the right-hand side of the equations to form the resultant vector.

4. Construct the vector equality by setting the sum of the variable-scaled vectors equal to the resultant vector.

Final Answer

x*[[1],[2]]+y*[[−1],[−2]]=[[3],[6]]

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