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 2 years ago
solve the system of equations by using the elimination method.
{4x^2+3y^2=12
{5x^2+6y^2=30
 2 years ago
solve the system of equations by using the elimination method. {4x^2+3y^2=12 {5x^2+6y^2=30

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ktklown
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0That just discourage people from learning.

ktklown
 2 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
 2 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
 2 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
 2 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
 2 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
 2 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
 2 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
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.1very close, I think you dropped a negative sign in that last step.

ktklown
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.13x^2=6 is correct though!
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