Isolating Variables for Physics Work

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SUMMARY

The discussion focuses on isolating variables in algebraic equations, specifically in the context of physics. The user seeks clarification on the steps involved in isolating variables, providing examples such as isolating 't' from the equation x/z = rty and 'r' from x = r + yz. The responses confirm the user's methods for the first two examples as correct and emphasize the importance of understanding the Properties of Equality and inverse operations in algebra. The user expresses difficulty with equations involving powers, such as y = x^2/zr.

PREREQUISITES
  • Understanding of basic algebraic principles
  • Familiarity with the Properties of Equality
  • Knowledge of inverse operations in mathematics
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Research the Properties of Equality in algebra
  • Study inverse operations and their applications
  • Learn techniques for isolating variables in equations with exponents
  • Practice solving algebraic equations involving multiple variables
USEFUL FOR

Students, educators, and anyone looking to strengthen their algebra skills, particularly in the context of physics applications.

cjp88
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Hello, I'm doing some physics work where I need to isolate the varibles but I've sadly forgotten how to do this. I've never used this in my work for a few years now so I'm stuck on the steps.

If anyone can direct me to a site or let me know the steps for isolating that would be great.

I'm trying to isolate these for example:

x/z = rty (for t)

tyr = x/z

t = xyr/z

(Not even sure if this is right. I put t on the left side, then multiplied both sides by yr to get the answer.)

x = r+yz (for r)

r+yz = x

r = x - yz

(Not even sure if this is right either. I put r on the left side then subtracted yz from both sides to get this answer.)

I somewhat understand how to do it for these two. I usually get the answer after a guess and check but is there a certain order you need to use to get it right?

My main problem is for questions like this:

y = x^2/zr

I have no idea on how to isolate anything with powers.

(No, this is not a homework question. I made the equations up so I can understand the concepts.)
 
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cjp88,

simple algebra. the various axioms of numbers that you learn in introductory algebra must become almost automatic. Properties of Equality, inverse operations...

Your first two are correct.
 
Alright, thanks! I'll check google some more for Properties of Equality and inverse operations.
 

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