Write as a Vector Equality 1/x+1/y=1/4 , 1/x-1/y=3/4

Problem

{[1/x+1/y=1/4],[1/x−1/y=3/4])

Solution

1. Identify the components of the system of equations to be represented as vectors.

2. Define the left-hand side as a vector containing the expressions involving the variables x and y

3. Define the right-hand side as a vector containing the constant values from each equation.

4. Equate the two vectors to form a single vector equality.

Final Answer

[[1/x+1/y],[1/x−1/y]]=[[1/4],[3/4]]

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