Write as a Vector Equality x+y=90 , 0.50+0.30=(0.60)(90)

Problem

{[x+y=90],[0.50*x+0.30*y=(0.60)*(90)])

Solution

1. Identify the variables and coefficients from the system of linear equations.

2. Group the coefficients of x into one vector and the coefficients of y into another vector.

3. Calculate the constant term on the right side of the second equation, where (0.60)*(90)=54

4. Express the system as a linear combination of vectors by multiplying each variable by its corresponding coefficient vector and setting it equal to the vector of constants.

Final Answer

x*[[1],[0.50]]+y*[[1],[0.30]]=[[90],[54]]

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