Write as a Vector Equality a=-x+5.5 , b=0.33x+1.5

Problem

{[a=−x+5.5],[b=0.33*x+1.5])

Solution

1. Identify the variables and constants in the system of equations to separate the vector components.

2. Decompose the equations into a vector containing the variables a and b on the left side.

3. Separate the terms containing the variable x from the constant terms on the right side.

4. Factor out the scalar x from the variable vector to express the system in the form v=x*u+c

Final Answer

[[a],[b]]=x*[[−1],[0.33]]+[[5.5],[1.5]]

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