SOLUTION: How to solve out 3/5t-1/10t=t-5/2

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Question 213471This question is from textbook Introductory and Intermediate Algebra
: How to solve out 3/5t-1/10t=t-5/2 This question is from textbook Introductory and Intermediate Algebra

Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!


The following steps will solve the above equation

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


YOUR ANSWER


  • This is an equation! Solutions: t=5.
  • Graphical form: Equation was fully solved.
  • Text form: 3t/5-t/10=t-5/2 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 3t/5-t/10=t-5/2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+3%2At%2F5+%29,highlight_red%28+-t%2F10+%29 replacing them with highlight_green%28+%283%2A1%2F5-1%2F10%29%2At+%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F10+%29
It becomes .
Look at .
Factors 5 and 10 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-t+%29,highlight_green%28+5%2F2+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+t%2F2+%29,highlight_red%28+-t+%29 replacing them with highlight_green%28+%281%2F2-1%29%2At+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-t%2F2%2B5%2F2=0+%29 equivalent to -0.5*t+2.5 =0
It becomes .
Result:
This is an equation! Solutions: t=5.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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