Write as a Vector Equality 3x+6y=a , x+2y=b

Problem

{[3*x+6*y=a],[x+2*y=b])

Solution

1. Identify the coefficients of the variables x and y on the left side of the system of equations.

2. Express the left side as a linear combination of two vectors, where x and y are the scalar weights.

3. Group the constants a and b into a single vector on the right side of the equation.

4. Formulate the vector equality by setting the linear combination of the column vectors equal to the constant vector.

Final Answer

x*[[3],[1]]+y*[[6],[2]]=[[a],[b]]

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