Write as a Vector Equality -3x+8y=8 , 3x-9y=-15

Problem

{[−3*x+8*y=8],[3*x−9*y=−15])

Solution

1. Identify the coefficients of the variables x and y from each equation to form the coefficient matrix.

2. Define the vector of variables as [[x],[y]]

3. Extract the constants from the right side of the equations to form the constant vector [[8],[−15]]

4. Express the system as a linear combination of column vectors by multiplying each variable by its corresponding column of coefficients.

Final Answer

x*[[−3],[3]]+y*[[8],[−9]]=[[8],[−15]]

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