Write as a Vector Equality x=1-y , y=1+x^2

Problem

x=1−y,y=1+x2

Solution

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

2. Express the system as a vector by grouping the variables into a column vector ([x],[y])

3. Substitute the given expressions for each component of the vector.

4. Equate the vector of variables to the vector of their corresponding expressions.

Final Answer

([x],[y])=([1−y],[1+x2])

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