Write as a Vector Equality (2x-3y)=9 , (4x+3y)=9

Problem

{[2*x−3*y=9],[4*x+3*y=9])

Solution

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

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

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

4. Express the system in the form A*x=b by placing the coefficients into a 2×2 matrix and the variables and constants into column vectors.

Final Answer

[[2,−3],[4,3]]*[[x],[y]]=[[9],[9]]

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