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

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

imranmeah91Best ResponseYou've already chosen the best response.0
That just discourage people from learning.
 2 years ago

ktklownBest ResponseYou've already chosen the best response.1
I 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.
 2 years ago

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

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

ktklownBest ResponseYou've already chosen the best response.1
If 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.
 2 years ago

ktklownBest ResponseYou've already chosen the best response.1
In 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?
 2 years ago

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

ktklownBest ResponseYou've already chosen the best response.1
exactly 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.
 2 years ago

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

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

ktklownBest 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)
 2 years ago

ktklownBest ResponseYou've already chosen the best response.1
3x^2=6 is correct though!
 2 years ago
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