We have been given a system of nonlinear equations.
In order to solve this system we can first equate the two equations in order to get a quadratic in x.
Our next step is to bring all the terms on one side.
Now we have to solve this equation. We can solve it by factoring using the splitting middle term method.
Upon setting each of these factors equal to zero using zero product property we get
Upon solving both these equations we get
Now we can substitute these values of x in the equation
We get
Therefore, our final set of solutions are