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

Problem

{[x+2*y=1],[−2*x+5*y=2])

Solution

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

2. Express the system as a linear combination of these column vectors by multiplying each vector by its corresponding variable.

3. Equate the resulting vector sum to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[−2]]+y*[[2],[5]]=[[1],[2]]

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