Solving System of Equations Using Matrices

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Homework Statement

Is it possible to solve this system of equations using matrices?
x^2 + y^2 = 42
x+3y+2y^2=6

Homework Equations

The Attempt at a Solution

I solved the system of equations using the following MATLAB code. I'm kind of confused by the results. Are there two x values and two y values? I don't know how to interpret what it says x and y are equal to. Thanks in advance.

>>one=sym('x^2+y^2-42');
two=sym('x+3*y+2*y^2-6');
[x,y]=solve(one,two)
 
x =
 
 -6.2161908711674029137999766546085
  6.4782037201238076694174751205659
  6.3321946913754454971273459117746
  -5.594207540331850252744844377732
 
 
y =
 
   1.8327495882457713513416277757555
 -0.18131894709064188368251606877471
  -1.3796051574695662000556283784362
  -3.2718254836855632676034833285446

 

[ehild]

Is it possible to solve this system of equations using matrices?

x^2 + y^2 = 42
x+3y+2y^2=6

No, matrices are applied to linear systems of equations.

The Attempt at a Solution

I solved the system of equations using the following MATLAB code. I'm kind of confused by the results. Are there two x values and two y values? I don't know how to interpret what it says x and y are equal to. Thanks in advance.

There are four solutions: (x,y) pairs

x=-6.216 and y=1.832,
x=6.478 and y=-0.181 and so on.

ehild