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

Problem

y=x2+1,x−y=−1

Solution

1. Identify the system of equations as a set of constraints that can be represented as a single vector equation where the left-hand side is a vector of the functions and the right-hand side is a vector of the constants or results.

2. Rewrite the second equation so that all variables are on one side to match the structure of the first equation, or simply group the existing expressions into vector components.

3. Construct the vector equality by placing the expressions involving variables into a column vector and setting it equal to a column vector containing the corresponding values or expressions.

Final Answer

[[y],[x−y]]=[[x2+1],[−1]]

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