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

Problem

{[x+3*y+3=0],[−x−3*y=−3])

Solution

1. Rearrange the first equation into standard form a*x+b*y=c by subtracting 3 from both sides.

x+3*y=−3

2. Identify the coefficients of the variables x and y in both equations to form the vectors.

{[1*x+3*y=−3],[−1*x−3*y=−3])

3. Separate the variables into a linear combination of vectors by using the coefficients as components.

x*[[1],[−1]]+y*[[3],[−3]]=[[−3],[−3]]

Final Answer

x*[[1],[−1]]+y*[[3],[−3]]=[[−3],[−3]]

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