Write as a Vector Equality

Problem

{[x+y+z=3100],[0.07*x+0.08*y+0.09*z=249],[−y+z=400])

Solution

1. Identify the variables in the system of linear equations, which are x y and z

2. Extract the coefficients from each equation to form the coefficient matrix A

3. Represent the variables as a column vector x and the constants from the right side of the equations as a column vector b

4. Construct the vector equality in the form A*x=b by placing the coefficients, variables, and constants into their respective matrices.

Final Answer

[[1,1,1],[0.07,0.08,0.09],[0,−1,1]]*[[x],[y],[z]]=[[3100],[249],[400]]

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