Write as a Vector Equality x+y=-2 , 2x-3y=-9

Problem

{[x+y=−2],[2*x−3*y=−9])

Solution

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

2. Separate the terms containing x and the terms containing y into two distinct vectors.

3. Factor out the scalars x and y from their respective vectors.

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

Final Answer

x*[[1],[2]]+y*[[1],[−3]]=[[−2],[−9]]

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