A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 3 years ago
solve the system of equations by using the elimination method.
{4x^2+3y^2=12
{5x^2+6y^2=30
 3 years ago
solve the system of equations by using the elimination method. {4x^2+3y^2=12 {5x^2+6y^2=30

This Question is Closed

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1HI there. Would you like to learn the method or just get the answer?

imranmeah91
 3 years ago
Best ResponseYou've already chosen the best response.0That just discourage people from learning.

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1I only teach methods, I don't give out answers. But some people get mad when I try to teach. That's why I ask first.

jesusfreak
 3 years ago
Best ResponseYou've already chosen the best response.0Well try to teach me the method because I don't even know what the method is.

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1The elimination method means we're trying to combine the equations in a way that makes one of the variables go away.

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1If you add the two equations together (e.g. add the left sides together, and add the right sides together), then you'll get a different equation as a result, which is still true. So the idea is to find a way to eliminate one of the variables by hoping that when we add the two equations together, one of the variables will cancel.

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1In this case, the easiest strategy is to multiply the first equation by 2. That way, the 3y^2 will turn into 6y^2, which will then cancel with the +6y^2 in the second equation when we add the two together. Does that make sense?

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1Great. so, first multiply the first equation through by 2; what do you get?

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1exactly right!! Now add that equation to the second equation (5x^2+6y^2=30). Remember, "adding" means, all the lefthand side terms get added to form the final lefthandside term, and all the righthandside terms form a single righthand side term. In other words, a + b = c added to d + e = f gives you a + b + d + e = c + f When you add the two equations in your problem together, you should find the Y terms cancel out.

jesusfreak
 3 years ago
Best ResponseYou've already chosen the best response.0Which would then be 3x^2/3=6/3 which is x^2=2, right?

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1very close, I think you dropped a negative sign in that last step.

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.1(Make sure you copied the original problem correctly  the problem you gave causes us to take the square root of a negative number)

ktklown
 3 years ago
Best ResponseYou've already chosen the best response.13x^2=6 is correct though!
Ask your own question
Ask a QuestionFind 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.