document.write( "Question 25304: 2x-y+x+y= \n" ); document.write( "
Algebra.Com's Answer #13582 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • 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 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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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\".
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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\".
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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\".
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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
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Look at \"%283%29%2Ax%2B0\".
Added fractions or integers together
It becomes \"%283%29%2Ax%2B0\".
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Look at \"%283%29%2Ax%2Bhighlight_red%28+0+%29\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"%283%29%2Ax\".
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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\"
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Universal Simplifier and Solver

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Done!

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