Question

E2%3D5%7D%7D%20%5Cright." id="TexFormula1" title="\left \{ {{x^3 +x^2y+xy^2+y^3=0} \atop {x^2+4y^2=5}} \right." alt="\left \{ {{x^3 +x^2y+xy^2+y^3=0} \atop {x^2+4y^2=5}} \right." align="absmiddle" class="latex-formula">

Answer 1

The solution to the system of equations is (-1, 1) and (1, -1)

How to determine the solution to the system of equations?

The system of equations is given as:

x^3 + x^2y + xy^2 + y^3 = 0

x^2 + 4y^2 = 5

The equations in the above system of equations are nonlinear equations.

The best way to a system of equations that are nonlinear equations is by the use of graphs

So, we start by plotting the graphs of the equations in the system of equations given as x^3 + x^2y + xy^2 + y^3 = 0 and x^2 + 4y^2 = 5

See attachment for the graph

The point of intersection represents the solution

From the attached graph, the points of intersection of the equations are

(-1, 1) and (1, -1)

Hence, the solution to the system of equations is (-1, 1) and (1, -1)

Read more about system of equations at:

brainly.com/question/13729904

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