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

Problem

{[x2=4*x−y],[y2=4*y−x])

Solution

1. Identify the components of the system of equations to be placed into vector form.

2. Define a vector v that contains the variables of the system, typically v=([x],[y])

3. Group the left-hand side expressions into a single vector and the right-hand side expressions into another vector.

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

Final Answer

([x2],[y2])=([4*x−y],[4*y−x])

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