Write as a Vector Equality 4ax-3y=7 , -x-by=8

Problem

{[4*a*x−3*y=7],[−x−b*y=8])

Solution

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

2. Define the variable vector as a column vector containing x and y

3. Extract the constants from the right-hand side of the equations to form the constant vector.

4. Express the system as a single vector equation where the linear combination of the column vectors equals the constant vector.

Final Answer

x*[[4*a],[−1]]+y*[[−3],[−b]]=[[7],[8]]

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