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Write as a Vector Equality

Problem

{[x+y+z=47],[100*x+50*y+200*z=5300],[x+y2*z=63])

Solution

  1. Identify the variables involved in the system of equations, which are x y and z

  2. Define the left-hand side of the system as a single vector by grouping the expressions from each equation into a column.

  3. Define the right-hand side of the system as a constant vector using the values from the right side of the equals signs.

  4. Equate the two vectors to represent the entire system as a single vector equality.

Final Answer

[[x+y+z],[100*x+50*y+200*z],[x+y2*z]]=[[47],[5300],[63]]


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