Solving (25-x) / 2.6 = (0-x) / .2718

  • Thread starter pitchharmonics
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In summary, the equation for solving (25-x) / 2.6 = (0-x) / .2718 is a linear equation with x as the unknown variable. The steps for solving this equation include distributing the fractions, simplifying, isolating the variable, solving, and checking the answer. The purpose of solving this equation is to find the value of x to balance the equation. It can be solved algebraically, but there are also other methods such as graphical and numerical methods.
  • #1
pitchharmonics
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(25-x) / 2.6 = (0-x) / .2718


How does one solve for x?
 
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  • #2
Multiply by 0.2718 and again by 2.6:
(25-x)(0.2718)=(-x)(2.6)

If you expand (25-x)(0.2718)...
 
  • #3


To solve for x in this equation, you can start by multiplying both sides by 2.6 to get rid of the fraction on the left side. This will give you (25-x) = (0-x) * 2.6/0.2718. Then, you can distribute the 2.6 to the right side, giving you (25-x) = (0-x) * 9.556. Next, you can distribute the negative sign on the right side, giving you (25-x) = -9.556x. From here, you can combine like terms by adding 9.556x to both sides, giving you (25+9.556x) = x. Finally, you can subtract 25 from both sides to isolate the variable x, giving you 9.556x = -25. Therefore, x = -25/9.556 = -2.61. So, the solution to this equation is x = -2.61.
 

What is the equation for solving (25-x) / 2.6 = (0-x) / .2718?

The equation for solving (25-x) / 2.6 = (0-x) / .2718 is a linear equation, where x is the unknown variable.

What are the steps for solving (25-x) / 2.6 = (0-x) / .2718?

The steps for solving (25-x) / 2.6 = (0-x) / .2718 are as follows:

  1. Distribute the fractions to get rid of the denominators
  2. Simplify the equation
  3. Isolate the variable on one side of the equation by adding or subtracting terms
  4. Solve for the variable
  5. Check your answer by plugging it back into the original equation

What is the purpose of solving (25-x) / 2.6 = (0-x) / .2718?

The purpose of solving (25-x) / 2.6 = (0-x) / .2718 is to find the value of the unknown variable, x, in order to balance the equation and make it true.

Can this equation be solved algebraically?

Yes, this equation can be solved algebraically by following the steps outlined in the previous question.

Are there any other methods for solving (25-x) / 2.6 = (0-x) / .2718?

Yes, this equation can also be solved using graphical methods, such as graphing the two sides of the equation and finding the intersection point, or using numerical methods, such as using a calculator or computer program to approximate the solution.

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