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Write as a Vector Equality x+3y=10 , 3x+9y=16

Problem

{[x+3*y=10],[3*x+9*y=16])

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, where x and y act as scalar weights.

  3. Equate the sum of the weighted column vectors to the vector formed by the constants on the right side of the equations.

Final Answer

x*[[1],[3]]+y*[[3],[9]]=[[10],[16]]


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