Write as a Vector Equality -3x+y=-10 , x-y=6

Problem

{[−3*x+y=−10],[x−y=6])

Solution

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

2. Extract the x coefficients from both equations to create the first vector: ([−3],[1])

3. Extract the y coefficients from both equations to create the second vector: ([1],[−1])

4. Identify the constants on the right side of the equations to form the resultant vector: ([−10],[6])

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

Final Answer

x*([−3],[1])+y*([1],[−1])=([−10],[6])

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