Write as a Vector Equality (1x+2y)=22 , (2x+3y)=39

Problem

{[1*x+2*y=22],[2*x+3*y=39])

Solution

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

2. Separate the variables into a scalar-vector product by treating x and y as the weights for the corresponding coefficient vectors.

3. Equate the linear combination of the column vectors to the vector of constants from the right side of the equations.

4. Construct the final vector equality by placing the coefficients of x into one vector and the coefficients of y into another.

Final Answer

x*[[1],[2]]+y*[[2],[3]]=[[22],[39]]

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