Write as a Vector Equality x+2y+5z=15 , 2x-3y+3z=2

Problem

x+2*y+5*z=15,2*x−3*y+3*z=2

Solution

1. Identify the coefficients of the variables x y and z for each equation in the system.

2. Represent the system as a linear combination of vectors by grouping the coefficients of each variable into separate column vectors.

3. Assign the constants from the right-hand side of the equations to a resultant vector.

4. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting their sum equal to the constant vector.

Final Answer

x*[[1],[2]]+y*[[2],[−3]]+z*[[5],[3]]=[[15],[2]]

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