SOLUTION: 5/6t+4=2-1/6t

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Question 24826: 5/6t+4=2-1/6t
Answer by Alwayscheerful(414) 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: t=-2.
  • Graphical form: Equation %285%2F6%29%2At%2B4=2-%281%2F6%29%2At was fully solved.
  • Text form: (5/6)*t+4=2-(1/6)*t simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%285%2F6%29%2At%2B4=2-%281%2F6%29%2At+%29
    For tutors: simplify_cartoon( (5/6)*t+4=2-(1/6)*t )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+5%2F6+%29%29%2At+%29%2B4=2-%281%2F6%29%2At.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F6+%29
It becomes highlight_green%28+5+%29%2Fhighlight_green%28+6+%29%2At%2B4=2-%281%2F6%29%2At.
Look at 5%2F6%2At%2B4=2-highlight_red%28+%28highlight_red%28+1%2F6+%29%29%2At+%29.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F6+%29
It becomes 5%2F6%2At%2B4=2-highlight_green%28+1+%29%2Fhighlight_green%28+6+%29%2At.
Look at 5%2F6%2At%2B4=2-highlight_red%28+1+%29%2F6%2At.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes 5%2F6%2At%2B4=2-t%2F6.
Look at 5%2F6%2At%2B4=highlight_red%28+2+%29-t%2F6.
Moved 2 to the right of expression
It becomes 5%2F6%2At%2B4=-t%2F6%2Bhighlight_green%28+2+%29.
Look at 5%2F6%2At%2B4=highlight_red%28+-t%2F6%2B2+%29.
Moved these terms to the left highlight_green%28+t%2F6+%29,highlight_green%28+-2+%29
It becomes 5%2F6%2At%2B4%2Bhighlight_green%28+t%2F6+%29-highlight_green%28+2+%29=0.
Look at 5%2F6%2At%2Bhighlight_red%28+4+%29%2Bt%2F6-highlight_red%28+2+%29=0.
Added fractions or integers together
It becomes 5%2F6%2At%2Bhighlight_green%28+2+%29%2Bt%2F6=0.
Look at 5%2F6%2At%2Bhighlight_red%28+2+%29%2Bt%2F6=0.
Moved 2 to the right of expression
It becomes 5%2F6%2At%2Bt%2F6%2Bhighlight_green%28+2+%29=0.
Look at highlight_red%28+5%2F6%2At+%29%2Bhighlight_red%28+t%2F6+%29%2B2=0.
Eliminated similar terms highlight_red%28+5%2F6%2At+%29,highlight_red%28+t%2F6+%29 replacing them with highlight_green%28+%285%2A1%2F6%2B1%2F6%29%2At+%29
It becomes highlight_green%28+%285%2A1%2F6%2B1%2F6%29%2At+%29%2B2=0.
Look at highlight_red%28+%285%2A1%2F6%2B1%2F6%29+%29%2At%2B2=0.
Remove extraneous '1' from product highlight_red%28+%285%2A1%2F6%2B1%2F6%29+%29
It becomes t%2B2=0.
Look at highlight_red%28+t%2B2+%29=0.
Solved linear equation highlight_red%28+t%2B2=0+%29 equivalent to t+2 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=-2.

Universal Simplifier and Solver


Done!

Hope this helps!