Write as a Vector Equality 2x+y=4 , 5x-2y=1

Problem

{[2*x+y=4],[5*x−2*y=1])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Separate the variables by expressing the system as a linear combination of vectors scaled by x and y

3. Group the constants from the right side of the equations into a single constant vector.

4. Construct the vector equation by setting the sum of the variable vectors equal to the constant vector.

Final Answer

x*[[2],[5]]+y*[[1],[−2]]=[[4],[1]]

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