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

Problem

{[x+y=−1],[x+y=3])

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 into column vectors to form the vector equation.

  4. Set the resulting vector sum equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[1]]+y*[[1],[1]]=[[−1],[3]]


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