Write as a Vector Equality x+2y+3z=90 , 3y+4z=36

Problem

{[x+2*y+3*z=90],[3*y+4*z=36])

Solution

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

2. Represent the system as a linear combination of vectors by multiplying each variable by a vector containing its coefficients from both equations.

3. Set the sum of these vectors equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[1],[0]]+y*[[2],[3]]+z*[[3],[4]]=[[90],[36]]

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