Write as a Vector Equality x+y=30000 , 0.12x+0.15y=4140

Problem

{[x+y=30000],[0.12*x+0.15*y=4140])

Solution

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

2. Separate the system into a linear combination of vectors by multiplying each variable by its corresponding vector of coefficients.

3. Equate the sum of these scaled vectors to the vector containing the constant terms from the right side of the equations.

4. Express the final result as a single vector equation where the left side is a linear combination of the basis vectors.

Final Answer

x*[[1],[0.12]]+y*[[1],[0.15]]=[[30000],[4140]]

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