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Write as a Vector Equality x+8y=20 , -x+5y=6

Problem

{[x+8*y=20],[−x+5*y=6])

Solution

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

  2. Separate the variables into a linear combination where each variable scales a vector of its corresponding coefficients.

  3. Equate the resulting linear combination to the vector of constants from the right-hand side of the system.

Final Answer

x*[[1],[−1]]+y*[[8],[5]]=[[20],[6]]


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