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Write as a Vector Equality 3x+6y=6 , 2x-6y=4

Problem

{[3*x+6*y=6],[2*x−6*y=4])

Solution

  1. Identify the coefficients of the variables x and y in each equation of the system.

  2. Express the system as a linear combination of two-dimensional column vectors, where each vector contains the coefficients of a specific variable.

  3. Group the constants from the right-hand side of the equations into a single resultant vector.

  4. Combine these components into a single vector equation.

Final Answer

x*[[3],[2]]+y*[[6],[−6]]=[[6],[4]]


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