A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Determine all the solutions to the systems of equations: x^2 + y^2 +x + y = 12 and xy + x + y = 3
anonymous
 4 years ago
Determine all the solutions to the systems of equations: x^2 + y^2 +x + y = 12 and xy + x + y = 3

This Question is Closed

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1use the second equation to eliminate x from the first equation. then simplify and factorise the resulting equation in y and solve.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what do you mean by using the second equation? add or subtract?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1second equation is:\[xy+x+y=3\]therefore:\[x(y+1)+y=3\]\[x(y+1)=3y\]\[x=\frac{3y}{y+1}\]

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1now substitute this into the first equation to eliminate x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok but it seems pretty complicated

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1it will look complicated initially, but if you follow it through then you should find it simplifying. when you first substitute this fractional expression for x into the first equation, you will get an expression with fractions in it. just multiply both sides of the equation with a suitable value to get rid of the fractions  then try and simplify.

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1yw  let me know if you get stuck and I'll try to assist It's pretty late here now so I need to get some sleep, but good luck!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.