Write as a Vector Equality x+2y=4 , 4x+5y=13

Problem

{[x+2*y=4],[4*x+5*y=13])

Solution

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

2. Separate the variables from their coefficients by writing the system as a linear combination of vectors.

3. Group the constants on 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*[[1],[4]]+y*[[2],[5]]=[[4],[13]]

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