anonymous
  • anonymous
Nine equals five times an unknown number less three times the same number?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
Let the unkown number be x.
mathstudent55
  • mathstudent55
What is three times the number?
mathstudent55
  • mathstudent55
\(\sf Nine ~equals ~five ~times ~an ~unknown ~number ~less \color{red}{~three ~times ~the ~same ~number}? \) \(~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{red}{3x}\)

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mathstudent55
  • mathstudent55
\(\sf Nine ~equals ~five ~times ~an ~unknown ~number \color{green}{~less} \color{red}{~three ~times ~the ~same ~number}?\) \(~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{green}{-}~~~~~~~~~~~~~~~~~~\color{red}{3x}\)
mathstudent55
  • mathstudent55
\(\sf Nine ~equals \color{blue}{~five ~times ~an ~unknown ~number} \color{green}{~less} \color{red}{~three ~times ~the ~same ~number}?\) \(~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{blue}{5x}~~~~~~~~~~~~~~~~~~~~\color{green}{-}~~~~~~~~~~~~~~~~~~\color{red}{3x}\)
mathstudent55
  • mathstudent55
\(\sf \color{purple}{Nine ~equals} \color{blue}{~five ~times ~an ~unknown ~number} \color{green}{~less} \color{red}{~three ~times ~the ~same ~number}?\) \(~~~~~\color{purple}{9=}~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{blue}{5x}~~~~~~~~~~~~~~~~~~~~\color{green}{-}~~~~~~~~~~~~~~~~~~\color{red}{3x}\)
mathstudent55
  • mathstudent55
After deleting the spaces and colors, you wend up with: \(\large 9=5x-3x\)
mathstudent55
  • mathstudent55
Now we can solve the equation for x, the unknown number.
mathstudent55
  • mathstudent55
\(\large 5x - 3x = 9\) Do the subtraction on the left side: \(\large 2x = 9\) Divide both sides by 2: \(\large x = 4.5\)
mathstudent55
  • mathstudent55
Answer: the number is 4.5

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