Write as a Vector Equality 2x+y=5 , x-y=1

Problem

{[2*x+y=5],[x−y=1])

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.

3. Group the coefficients of x into one vector and the coefficients of y into another vector.

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

Final Answer

x*[[2],[1]]+y*[[1],[−1]]=[[5],[1]]

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