Write as a Vector Equality -3x+3y=0 , x+6y=10

Problem

{[−3*x+3*y=0],[x+6*y=10])

Solution

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

2. Separate the variables by expressing the system as a linear combination of vectors scaled by x and y

3. Equate the sum of these scaled vectors to the vector containing the constants from the right-hand side of the equations.

Final Answer

x*[[−3],[1]]+y*[[3],[6]]=[[0],[10]]

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