Write as a Vector Equality x+y+z=12 , 2x-3y+2z=4

Problem

{[x+y+z=12],[2*x−3*y+2*z=4])

Solution

1. Identify the coefficients of the variables x y and z in each equation to form the column vectors.

2. Express the system as a linear combination of these vectors by multiplying each variable by its corresponding coefficient vector.

3. Set the linear combination equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[2]]+y*[[1],[−3]]+z*[[1],[2]]=[[12],[4]]

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