Write as a Vector Equality 3x-2y=-6 , -3x-y=-12

Problem

{[3*x−2*y=−6],[−3*x−y=−12])

Solution

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

2. Express the system as a linear combination of these column vectors by multiplying the first column by x and the second column by y

3. Set this linear combination equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[3],[−3]]+y*[[−2],[−1]]=[[−6],[−12]]

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