Write as a Vector Equality -2x-y=0 , 2x-2y=6

Problem

{[−2*x−y=0],[2*x−2*y=6])

Solution

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

2. Extract the coefficients of x as the first vector: ([−2],[2])

3. Extract the coefficients of y as the second vector: ([−1],[−2])

4. Identify the constants on the right side of the equations to form the result vector: ([0],[6])

5. Combine these components into a linear combination where the variables x and y scale their respective coefficient vectors.

Final Answer

x*([−2],[2])+y*([−1],[−2])=([0],[6])

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