SOLUTION: Solve {{{y/4 + y/3 = 8}}}

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Question 216517: Solve y%2F4+%2B+y%2F3+=+8
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=13.7142857142857.
  • Graphical form: Equation y%2F4%2By%2F3=8 was fully solved.
  • Text form: y/4+y/3=8 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+y%2F4%2By%2F3=8+%29
    For tutors: simplify_cartoon( y/4+y/3=8 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+y%2F4+%29%2Bhighlight_red%28+y%2F3+%29=8.
Eliminated similar terms highlight_red%28+y%2F4+%29,highlight_red%28+y%2F3+%29 replacing them with highlight_green%28+%281%2F4%2B1%2F3%29%2Ay+%29
It becomes highlight_green%28+%281%2F4%2B1%2F3%29%2Ay+%29=8.
Look at %28highlight_red%28+1%2F4+%29%2Bhighlight_red%28+1%2F3+%29%29%2Ay=8.
Added fractions or integers together
It becomes %28highlight_green%28+7%2F12+%29%29%2Ay=8.
Look at highlight_red%28+%28highlight_red%28+7%2F12+%29%29%2Ay+%29=8.
Remove unneeded parentheses around factor highlight_red%28+7+%29,highlight_red%28+1%2F12+%29
It becomes highlight_green%28+7+%29%2Fhighlight_green%28+12+%29%2Ay=8.
Look at 7%2F12%2Ay=highlight_red%28+8+%29.
Moved these terms to the left highlight_green%28+-8+%29
It becomes 7%2F12%2Ay-highlight_green%28+8+%29=0.
Look at highlight_red%28+7%2F12%2Ay-8+%29=0.
Solved linear equation highlight_red%28+7%2F12%2Ay-8=0+%29 equivalent to 0.583333333333333*y-8 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=13.7142857142857.

Universal Simplifier and Solver


Done!


You can also say that y=+8%2A12%2F7+=+96%2F7