Discover How to Solve for X in a Simple Algebraic Equation | Example Provided

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SUMMARY

The discussion focuses on solving for the variable "X" in the algebraic equation (1/3)x + (1/4)y = x/a. The key steps involve rearranging the equation to isolate terms containing "X" on one side and constants on the other. Participants emphasize the importance of factoring out "X" and dividing both sides by the resulting coefficient to find the solution. The example provided illustrates the method clearly, demonstrating the process of manipulating algebraic expressions.

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  • Understanding of basic algebraic equations
  • Familiarity with variable isolation techniques
  • Knowledge of factoring expressions
  • Ability to perform arithmetic operations with fractions
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  • Learn about factoring techniques in algebra
  • Explore the concept of isolating variables in complex equations
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Students learning algebra, educators teaching mathematics, and anyone seeking to improve their problem-solving skills in algebraic equations.

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Homework Statement



I have a formula but i don't know how to get the "X". Example (i need the X): y=1/x => x=1/y.

This is the formula:

(1/3)x + (1/4)y = x/a so can someone explain the answer please
 
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Hi there :)

Put everything which depends on x on one side of the equal sign; everything which does not depend on x on the other side.
On the “x” side, factorize so as to have “something” multiplied by x.
Divide both sides by this “something” :)
 

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