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Write as a Vector Equality (5x-2y)=1 , (10x-4y)=8

Problem

{[5*x−2*y=1],[10*x−4*y=8])

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 the variable vectors by multiplying x by the vector of its coefficients and y by the vector of its coefficients.

  3. Set the resulting vector sum equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[5],[10]]+y*[[−2],[−4]]=[[1],[8]]


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