SOLUTION: six more than 5 times the number is the same as 9 less than the twice the number. find the number

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Question 223830: six more than 5 times the number is the same as 9 less than the twice the number. find the number
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Six more than 5 times the number is the same as 9 less than the twice the number. Find the number.

Step 1. Let n be the number.

Step 2. Let 5n+6 be six more than 5 times the number

Step 3. Let 2n-9 be 9 less than twice the number.

Step 4. Equate expression in Steps 2 and 3 to get 5n%2B6=2n-9

Step 5. Solving the equation in Step 4 yields the following steps:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: n=-5.
  • Graphical form: Equation 5n%2B6=2n-9 was fully solved.
  • Text form: 5n+6=2n-9 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5n%2B6=2n-9+%29
    For tutors: simplify_cartoon( 5n+6=2n-9 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2An%2B6=highlight_red%28+2%2An-9+%29.
Moved these terms to the left highlight_green%28+-2%2An+%29,highlight_green%28+9+%29
It becomes 5%2An%2B6-highlight_green%28+2%2An+%29%2Bhighlight_green%28+9+%29=0.
Look at 5%2An%2Bhighlight_red%28+6+%29-2%2An%2Bhighlight_red%28+9+%29=0.
Added fractions or integers together
It becomes 5%2An%2Bhighlight_green%28+15+%29-2%2An=0.
Look at 5%2An%2Bhighlight_red%28+15+%29-2%2An=0.
Moved 15 to the right of expression
It becomes 5%2An-2%2An%2Bhighlight_green%28+15+%29=0.
Look at highlight_red%28+5%2An+%29-highlight_red%28+2%2An+%29%2B15=0.
Eliminated similar terms highlight_red%28+5%2An+%29,highlight_red%28+-2%2An+%29 replacing them with highlight_green%28+%285-2%29%2An+%29
It becomes highlight_green%28+%285-2%29%2An+%29%2B15=0.
Look at %28highlight_red%28+5+%29-highlight_red%28+2+%29%29%2An%2B15=0.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2An%2B15=0.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2An+%29%2B15=0.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2An%2B15=0.
Look at highlight_red%28+3%2An%2B15+%29=0.
Solved linear equation highlight_red%28+3%2An%2B15=0+%29 equivalent to 3*n+15 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: n=-5.

Universal Simplifier and Solver


Done!



Step 6. ANSWER: The number is n=-5.


I hope the above steps were helpful.

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http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J