Write as a Vector Equality x-y=-1 , x+y=7

Problem

{[x−y=−1],[x+y=7])

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. Construct the vector equation by placing the coefficients of x into one vector, the coefficients of y into another vector, and the constants into a resultant vector.

Final Answer

x*[[1],[1]]+y*[[−1],[1]]=[[−1],[7]]

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