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

Problem

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

Solution

1. Identify the variables x and y and their corresponding coefficients in each equation.

2. Group the terms on the left side into a linear combination of two column vectors, one scaled by x and the other by y

3. Represent the constants on the right side as a single column vector.

4. Equate the sum of the scaled vectors to the constant vector to form the vector equality.

Final Answer

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

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