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Write as a Vector Equality x+4y=60 , 4x+2y=100

Problem

{[x+4*y=60],[4*x+2*y=100])

Solution

  1. Identify the coefficients of the variables x and y in each equation of the system.

  2. Express the system as a linear combination of two-dimensional vectors, where each vector corresponds to a variable.

  3. Group the constants on the right side of the equations into a single constant vector.

  4. Write the final vector equality by setting the sum of the variable vectors equal to the constant vector.

Final Answer

x*[[1],[4]]+y*[[4],[2]]=[[60],[100]]


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