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Write as a Vector Equality 2x-5y=4 , x-3y=12

Problem

{[2*x−5*y=4],[x−3*y=12])

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 by multiplying each vector by its corresponding variable.

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

Final Answer

x*[[2],[1]]+y*[[−5],[−3]]=[[4],[12]]


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