Write as a Vector Equality x+y+2=0 , x^2+y^2+4y-x=-4

Problem

{[x+y+2=0],[x2+y2+4*y−x=−4])

Solution

1. Identify the components of the system of equations to be represented as a vector equation.

2. Define a vector of variables v and a vector-valued function F*(x,y) that represents the left-hand side of the system.

3. Rearrange the equations so that all terms are on one side, or identify the constant vector c for the right-hand side.

4. Construct the vector equality by equating the vector of functions to the vector of constants.

Final Answer

[[x+y+2],[x2+y2+4*y−x]]=[[0],[−4]]

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