Write as a Vector Equality 8x+7y=46 , 12x-5y=100

Problem

{[8*x+7*y=46],[12*x−5*y=100])

Solution

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

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

3. Equate the resulting vector sum to the vector of constants from the right side of the equations.

Final Answer

x*[[8],[12]]+y*[[7],[−5]]=[[46],[100]]

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