Write as a Vector Equality -3x+5y=6 , -8x+7y=-22

Problem

{[−3*x+5*y=6],[−8*x+7*y=−22])

Solution

1. Identify the coefficients of the variables x and y on the left side of the equations to form the column vectors.

2. Separate the variables x and y as scalars multiplying their respective coefficient vectors.

3. Equate the linear combination of the vectors to the vector containing the constants from the right side of the equations.

4. Express the system in the form x*a+y*b=c

Final Answer

x*[[−3],[−8]]+y*[[5],[7]]=[[6],[−22]]

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