Write as a Vector Equality x+y=65 , 30x+40y=2200

Problem

{[x+y=65],[30*x+40*y=2200])

Solution

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

2. Express the left side of the system as a linear combination of two vectors, where x and y are the scalar weights.

3. Set the resulting vector sum equal to the vector of constants from the right side of the equations.

Final Answer

x*[[1],[30]]+y*[[1],[40]]=[[65],[2200]]

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