Write as a Vector Equality x-5y=10 , 2x-10y=20

Problem

{[x−5*y=10],[2*x−10*y=20])

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 the left side to create the first vector: ([1],[2])

3. Extract the y coefficients from the left side to create the second vector: ([−5],[−10])

4. Identify the constants on the right side of the equations to form the resultant vector: ([10],[20])

5. Combine these components into a linear combination of vectors where the variables x and y act as scalars.

Final Answer

x*([1],[2])+y*([−5],[−10])=([10],[20])

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