SOLUTION: 2x-y+x+y=

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Question 25303: 2x-y+x+y=
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


  • Graphical form: 2x-y%2Bx%2By simplifies to 3%2Ax
  • Text form: 2x-y+x+y simplifies to 3*x
  • Cartoon (animation) form: simplify_cartoon%28+2x-y%2Bx%2By+%29
    For tutors: simplify_cartoon( 2x-y+x+y )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+2%2Ax+%29-y%2Bhighlight_red%28+x+%29%2By.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%282%2B1%29%2Ax+%29
It becomes highlight_green%28+%282%2B1%29%2Ax+%29-y%2By.
Look at %282%2B1%29%2Ax-highlight_red%28+y+%29%2Bhighlight_red%28+y+%29.
Eliminated similar terms highlight_red%28+-y+%29,highlight_red%28+y+%29 replacing them with highlight_green%28+%28-1%2B1%29%2Ay+%29
It becomes %282%2B1%29%2Ax%2Bhighlight_green%28+%28-1%2B1%29%2Ay+%29.
Look at %28highlight_red%28+2+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B%28-1%2B1%29%2Ay.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax%2B%28-1%2B1%29%2Ay.
Look at %283%29%2Ax%2Bhighlight_red%28+%28-1%2B1%29%2Ay+%29.
Since highlight_red%28+%28-1%2B1%29%2Ay+%29 has zero as a factor, it should be replaced with a zero
Look at %283%29%2Ax%2B0.
Added fractions or integers together
It becomes %283%29%2Ax%2B0.
Look at %283%29%2Ax%2Bhighlight_red%28+0+%29.
Remove extraneous zero highlight_red%28+0+%29
It becomes %283%29%2Ax.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax.
Result: 3%2Ax

Universal Simplifier and Solver


Done!

Hope this helps!