Write as a Vector Equality x-z=0 , x+y+z=114 , 76x+51y+64z=6916

Problem

{[x−z=0],[x+y+z=114],[76*x+51*y+64*z=6916])

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 into a 3×3 matrix and the constants into a 3×1 vector.

Final Answer

[[1,0,−1],[1,1,1],[76,51,64]]*[[x],[y],[z]]=[[0],[114],[6916]]

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