Write as a Vector Equality x-5y=-5 , -x+5y=5

Problem

{[x−5*y=−5],[−x+5*y=5])

Solution

1. Identify the coefficients of the variables x and y in each equation of the system.

2. Express the system as a linear combination of constant vectors multiplied by the variables x and y

3. Write the vectors for the x coefficients, the y coefficients, and the constants on the right side of the equations.

4. Formulate the vector equality by setting the sum of the variable-scaled vectors equal to the constant vector.

Final Answer

x*[[1],[−1]]+y*[[−5],[5]]=[[−5],[5]]

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