Write as a Vector Equality 0.5+4y=-1 , x+2.5y=3.5

Problem

{[0.5*x+4*y=−1],[x+2.5*y=3.5])

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 of constants from the right-hand side of the equations.

Final Answer

x*[[0.5],[1]]+y*[[4],[2.5]]=[[−1],[3.5]]

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