How can I solve this equation involving two variables?

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Homework Help Overview

The discussion revolves around solving a system of equations involving two variables, specifically the equations 3x² + xy - y² = 81 and x + y = 7. The subject area pertains to algebraic manipulation and problem-solving techniques.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest finding one variable in terms of the other and substituting it into the equations. There are inquiries about the nature of the problem and requests for clarification on the original poster's understanding and approach.

Discussion Status

The discussion includes various suggestions for approaching the problem, with some participants emphasizing the need for the original poster to show their work. There is a mix of responses, with some questioning the level of difficulty of the problem and others offering hints without providing direct solutions.

Contextual Notes

Some participants express concern about the appropriateness of the problem for the stated level of study, indicating a potential mismatch between the problem and the original poster's self-identified learning stage.

Aladin
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please help me in solving this question.
3x^2+xy-y^2=81 ; x+y=7


I will be thankful to you
 
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We don't do your homework here. Show some work, please.
 
Also it's not a question:
"Hey"
-Hey
"3x^2+xy-y^2=81 ; x+y=7 ??"
-Yes
"OK."
 
Aladin said:
please help me in solving this question.
3x^2+xy-y^2=81 ; x+y=7


I will be thankful to you

Hi Aladin! :smile:

Hint: do the easy equation first.

So x = … ? :smile:
 
Find y in terms of x and substitute...
 
this isn't even precalculus its basic algebra
 
it is not my home work I am just trying to solve it because I am learning basic math.so please help me in solving this equation
 
Just follow everyone's advice and solve find x in terms of y or vice versa y in terms of x and substitute back into your equation.
 
after you solve in terms of the other with one equation you have to plug in for the other equation
 

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