Write as a Vector Equality -x+y=5 , x-5y=-9

Problem

{[−x+y=5],[x−5*y=−9])

Solution

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

2. Separate the system into a linear combination of two column vectors, one scaled by x and the other scaled by y

3. Determine the constant vector from the values on the right side of the equals signs.

4. Equate the linear combination of the variable vectors to the constant vector to form the vector equality.

Final Answer

x*[[−1],[1]]+y*[[1],[−5]]=[[5],[−9]]

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