Write as a Vector Equality 3a+6b=9 , -2a+3b=4

Problem

{[3*a+6*b=9],[−2*a+3*b=4])

Solution

1. Identify the coefficients of the variables a and b in each equation to form the column vectors.

2. Group the coefficients of a into a single vector and the coefficients of b into another vector.

3. Express the system as a linear combination where the scalars a and b multiply their respective coefficient vectors.

4. Set the resulting vector sum equal to the vector of constants from the right-hand side of the equations.

Final Answer

a*[[3],[−2]]+b*[[6],[3]]=[[9],[4]]

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