Solving a Linear Equation in one Variable

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SUMMARY

The discussion focuses on rearranging the equation Eph = hc/λ to isolate λ, the wavelength of light. The user seeks assistance in understanding the algebraic manipulation required to solve for λ, particularly in preparation for an upcoming exam. Key steps include multiplying both sides of the equation by λ to eliminate the fraction, leading to the equation Eph * λ = hc. This rearrangement is essential for solving linear equations in one variable.

PREREQUISITES
  • Understanding of algebraic manipulation
  • Familiarity with the equation Eph = hc/λ
  • Basic knowledge of linear equations
  • Ability to work with variables and constants
NEXT STEPS
  • Study algebraic techniques for solving linear equations
  • Review the concept of isolating variables in equations
  • Explore online resources for algebra tutorials, such as the provided link to WTAMU
  • Practice similar problems involving rearranging equations
USEFUL FOR

Students preparing for exams in physics or mathematics, particularly those needing to understand algebraic manipulation of equations. This discussion is beneficial for anyone looking to improve their skills in solving linear equations in one variable.

raid517
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Please can someone show me the steps needed to go about rearranging the equation Eph = hc/lambda to make lambda (the wavelength of the light) the subject? I'm totally stuck and I have an exam in the morning. I suspect this is one of the questions that will come up. I know it should be simple but I'm just not getting it. Any and all help is appreciated.
 
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I am assuming that the ph on the left side of the equation is a subscript for photon and that the equation looks like this.
[itex]E_{ph}=\frac{hc}{\lambda}[/itex]

I also assume that by "make(ing) lambda (the wavelength of the light) the subject" you mean that you want to solve the equation for lambda.

This is an algebra question. I found a link in the Math and Science learning materials section of this forum:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm
You might want to look at tutorial 14. Linear Equation in one variable.

To get you started, what would happen to your equation if you multiplied both sides by [itex]\lambda[/itex] ?
 

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