Write as a Vector Equality 6x+6y=30 , 3x+3y=-5

Problem

{[6*x+6*y=30],[3*x+3*y=−5])

Solution

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

2. Extract the variable x from the first terms to create the first vector component x*[[6],[3]]

3. Extract the variable y from the second terms to create the second vector component y*[[6],[3]]

4. Set the sum of these vector components equal to the vector of constants from the right side of the equations.

Final Answer

x*[[6],[3]]+y*[[6],[3]]=[[30],[−5]]

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