Write as a Vector Equality x+3y=1 , x-y=6

Problem

{[x+3*y=1],[x−y=6])

Solution

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

2. Express the system as a linear combination of constant vectors multiplied by the variables x and y

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*[[3],[−1]]=[[1],[6]]

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