Write as a Vector Equality -2x+3y-5z=28 , 2x+7y+4z=17

Problem

−2*x+3*y−5*z=28,2*x+7*y+4*z=17

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 vectors by multiplying each variable by its corresponding vector of coefficients.

3. Set the resulting vector sum equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[−2],[2]]+y*[[3],[7]]+z*[[−5],[4]]=[[28],[17]]

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