Write as a Vector Equality 7x-2y=14 , 2x+7x=57

Problem

{[7*x−2*y=14],[2*x+7*y=57])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Group the terms containing x into one vector and the terms containing y into another vector.

3. Factor out the scalars x and y from their respective column 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

x*[[7],[2]]+y*[[−2],[7]]=[[14],[57]]

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