Solving Simultaneous Equations with 2xy: Tips and Methods

[jimmy42]

I have the following simultaneous equations. However I am unsure how to handle that 2xy. Can someone give a pointer to any known methods?

x= 3x^2+2xy
y=x^2+3y+8

 

[mtayab1994]

Just factor out the first equation so you can get x(1-3x-2y)=0 and then you transform the equation.

 

[Borek]

Second equation is linear in y, so you can solve by substitution.

 

[mtayab1994]

After you have x(1-3x-2y)=0, you will then have to split that up with what you know about a*b=0.