Write as a Vector Equality 8x+12y=36 , -12x-18y=-54

Problem

{[8*x+12*y=36],[−12*x−18*y=−54])

Solution

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

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

3. Set the linear combination equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[8],[−12]]+y*[[12],[−18]]=[[36],[−54]]

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