Solution of nonlinear system of equations are the points of
intersection of the curve of conic sections.
The linear system is one where each equation is linear, it means
that each variable in the equation has a power of 1. The graph of
the linear equation is a straight line.
For example \(2x + 3y = 4\) is linear equation.
A system of two or more equations having two or more variables
containing at least one equation that is not linear is known as.
nonlinear equations system.
For example \(xy = 4\) is a nonlinear equation because it cannot be
written in the form of \(Ax + By + C = 0\).
The graph of nonlinear systems is generally have conic curves
where intersection point of the curves are the solution of the
system.
Therefore, solutions of the nonlinear systems of equations are the
points of intersection of the curve of conic sections.