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Write as a Vector Equality 2x+3y=9 , -3x+2y=19

Problem

{[2*x+3*y=9],[−3*x+2*y=19])

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 vectors by multiplying each variable by its corresponding vector of coefficients.

  3. Equate the sum of these scaled vectors to the vector containing the constants from the right-hand side of the equations.

Final Answer

x*[[2],[−3]]+y*[[3],[2]]=[[9],[19]]


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