SOLUTION: Solve: x-1/6=4? and solve: x-13/3=-199/30

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Question 24773: Solve: x-1/6=4? and solve: x-13/3=-199/30
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: x=4.16666666666667.
  • Graphical form: Equation x-%281%2F6%29=4 was fully solved.
  • Text form: x-(1/6)=4 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x-%281%2F6%29=4+%29
    For tutors: simplify_cartoon( x-(1/6)=4 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x-highlight_red%28+%281%2F6%29+%29=4.
Remove unneeded parentheses around terms highlight_red%28+-1%2F6+%29
It becomes x-highlight_green%28+1%2F6+%29=4.
Look at x-1%2F6=highlight_red%28+4+%29.
Moved these terms to the left highlight_green%28+-4+%29
It becomes x-1%2F6-highlight_green%28+4+%29=0.
Look at x-highlight_red%28+1%2F6+%29-highlight_red%28+4+%29=0.
Added fractions or integers together
It becomes x-highlight_green%28+25%2F6+%29=0.
Look at highlight_red%28+x-25%2F6+%29=0.
Solved linear equation highlight_red%28+x-25%2F6=0+%29 equivalent to x-4.16666666666667 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=4.16666666666667.

Universal Simplifier and Solver


Done!

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


YOUR ANSWER


  • This is an equation! Solutions: x=-2.3.
  • Graphical form: Equation x-%2813%2F3%29=%28-199%2F30%29 was fully solved.
  • Text form: x-(13/3)=(-199/30) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x-%2813%2F3%29=%28-199%2F30%29+%29
    For tutors: simplify_cartoon( x-(13/3)=(-199/30) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x-highlight_red%28+%2813%2F3%29+%29=%28-199%2F30%29.
Remove unneeded parentheses around terms highlight_red%28+-13%2F3+%29
It becomes x-highlight_green%28+13%2F3+%29=%28-199%2F30%29.
Look at x-13%2F3=highlight_red%28+%28-199%2F30%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-199%2F30+%29
It becomes x-13%2F3=-highlight_green%28+199%2F30+%29.
Look at x-13%2F3=highlight_red%28+-199%2F30+%29.
Moved these terms to the left highlight_green%28+199%2F30+%29
It becomes x-13%2F3%2Bhighlight_green%28+199%2F30+%29=0.
Look at x-highlight_red%28+13%2F3+%29%2Bhighlight_red%28+199%2F30+%29=0.
Added fractions or integers together
It becomes x%2Bhighlight_green%28+69%2F30+%29=0.
Look at x%2Bhighlight_red%28+69+%29%2Fhighlight_red%28+30+%29=0.
Factors 69 and 30 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes x%2Bhighlight_green%28+23+%29%2Fhighlight_green%28+10+%29=0.
Look at highlight_red%28+x%2B23%2F10+%29=0.
Solved linear equation highlight_red%28+x%2B23%2F10=0+%29 equivalent to x+2.3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-2.3.

Universal Simplifier and Solver


Done!

Hope this helps!