Write as a Vector Equality 3a+4b=4 , 4a-7b=3

Problem

{[3*a+4*b=4],[4*a−7*b=3])

Solution

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

2. Group the terms containing a into one vector and the terms containing b into another vector.

3. Factor out the scalars a and b from their respective vectors.

4. Set the sum of these scaled vectors equal to the vector containing the constants from the right side of the equations.

Final Answer

a*[[3],[4]]+b*[[4],[−7]]=[[4],[3]]

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