Write as a Vector Equality 3a-4b=-5 , -6a+8b=6

Problem

{[3*a−4*b=−5],[−6*a+8*b=6])

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 column vectors.

4. Set the resulting linear combination equal to the vector of constants from the right side of the equations.

Final Answer

a*[[3],[−6]]+b*[[−4],[8]]=[[−5],[6]]

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