What is the value of y in the equation y …

Mathematics Questions

What is the value of y in the equation y = 4/x + ‚Äöaox + 0.2 – 5x when x = 4/5?

Short Answer

To solve the equation y = 4/x + ‚Äöaox + 0.2 – 5x for x = 4/5, first substitute the value and calculate each term separately. Finally, combine the results to find y = 2.094.

Step-by-Step Solution

Step 1: Substitute the Value of x

Begin by substituting the given value of x = 4/5 into the equation y = 4/x + ‚Äöaox + 0.2 – 5x. This step is crucial as it allows you to replace the variable with the specific number, making it easier to perform calculations.

Step 2: Calculate Each Term

Next, calculate each term in the equation separately to avoid confusion:

  • First term: y = 4/(4/5) equals 5.
  • Second term: ‚Äöao(4/5) calculates to approximately 0.894.
  • Third term: 0.2 remains unchanged.
  • Fourth term: -5*(4/5) results in -4.

Step 3: Combine the Results

After calculating each term, the final step involves adding them together to find the value of y. Combine the results obtained in the previous step: y = 5 + 0.894 + 0.2 – 4, which simplifies to y = 2.094. This final value represents the solution to the equation.

Related Concepts

Substitution

The process of replacing a variable in an equation with a specific number to allow for easier calculations

Term Calculation

The process of evaluating each part of an equation separately to simplify the overall computation

Result Combination

The act of adding or merging the calculated terms to arrive at a final answer in an equation.

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