- #1
GreenTea09
- 14
- 0
Lumda λ = 1.42
i tried to make m the subject and substituting Eqn 1 with Eqn 2 but end up getting stucked here everytime..
How to Solve Simultaneous Equations Involving λ and m?
- Context: High School
- Thread starter GreenTea09
- Start date
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SUMMARY
The discussion focuses on solving simultaneous equations involving the variables λ and m, specifically with λ set to 1.42. Participants suggest squaring both equations to eliminate square roots and recommend substituting λ^2 from Equation 1 into Equation 2 to express m in terms of n. The challenge arises due to the presence of the term (m + 1/2)λ, complicating the elimination process. Overall, the key strategy involves manipulating the equations through substitution and squaring to simplify the problem.
PREREQUISITES- Understanding of simultaneous equations
- Familiarity with algebraic manipulation techniques
- Knowledge of substitution methods in equations
- Basic grasp of squaring terms and eliminating variables
- Study methods for solving simultaneous equations in algebra
- Learn about substitution techniques in mathematical problem-solving
- Explore the concept of eliminating common factors in equations
- Review advanced algebraic manipulation strategies
Students, mathematicians, and anyone involved in algebraic problem-solving who seeks to understand the intricacies of simultaneous equations involving multiple variables.
Lumda λ = 1.42
i tried to make m the subject and substituting Eqn 1 with Eqn 2 but end up getting stucked here everytime..
- #2
SteamKing
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Try taking equations 1 and 2 from the OP and squaring each first. That gets rid of the square root.
You can solve Equation 1 for λ^2 and then substitute this into Eq. 2. You should then be able to solve for m in terms of n.
This is called eliminating the common factor.
You can solve Equation 1 for λ^2 and then substitute this into Eq. 2. You should then be able to solve for m in terms of n.
This is called eliminating the common factor.
- #3
GreenTea09
- 14
- 0
ive tried,there is a (m+1/2)λ which makes my elimination of m isn't possible(at least for me)..
i tried squaring both sides for equation(2) which ends up with a m^2*λ^2 + mλ^2 ...
i tried squaring both sides for equation(2) which ends up with a m^2*λ^2 + mλ^2 ...
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