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Write as a Vector Equality 5x+y=7 , 3x-2y=25

Problem

{[5*x+y=7],[3*x−2*y=25])

Solution

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

  2. Separate the system into a linear combination of vectors by multiplying the variable x by the vector of its coefficients and the variable y by the vector of its coefficients.

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

Final Answer

x*[[5],[3]]+y*[[1],[−2]]=[[7],[25]]


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