Write as a Vector Equality -3x+2y=-14 , x=3y+7

Problem

−3*x+2*y=−14,x=3*y+7

Solution

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

x−3*y=7

2. Align the system of linear equations to prepare for vectorization.

−3*x+2*y=−14

1*x−3*y=7

3. Separate the variables x and y into a linear combination of two column vectors.

x*[[−3],[1]]+y*[[2],[−3]]=[[−14],[7]]

Final Answer

x*[[−3],[1]]+y*[[2],[−3]]=[[−14],[7]]

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