document.write( "Question 409173: \n" ); document.write( "
Algebra.Com's Answer #288090 by Jeef Gorrdon(26)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE a linear equation
Solve \"2%2Ax%2B1=5\". Move 1 to the right: \"2%2Ax=5-1\". Divide by 2: \"x=%285-1%29%2F2=4%2F2+=+2\"
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Solved by pluggable solver: Linear System solver (using determinant)
Solve:
\n" ); document.write( " \"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++\"
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\n" ); document.write( " Any system of equations:
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\n" ); document.write( " (x=1, y=1}
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=2.
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  • Graphical form: Equation \"x%2Bx-x%2B2x=6\" was fully solved.
  • Text form: x+x-x+2x=6 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2Bx-x%2B2x=6+%29\"
    For tutors: simplify_cartoon( x+x-x+2x=6 )
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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 .
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+x+%29\",\"highlight_red%28+-x+%29\",\"highlight_red%28+2%2Ax+%29\" replacing them with \"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29=6\".
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Look at .
Added fractions or integers together
It becomes \"%28highlight_green%28+3+%29%29%2Ax=6\".
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Look at \"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=6\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2Ax=6\".
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Look at \"3%2Ax=highlight_red%28+6+%29\".
Moved these terms to the left \"highlight_green%28+-6+%29\"
It becomes \"3%2Ax-highlight_green%28+6+%29=0\".
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Look at \"highlight_red%28+3%2Ax-6+%29=0\".
Solved linear equation \"highlight_red%28+3%2Ax-6=0+%29\" equivalent to 3*x-6 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=2.

Universal Simplifier and Solver

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Done!
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
\n" ); document.write( " \"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++\"We'll use substitution. After moving 1*y to the right, we get:
\n" ); document.write( " \"1%2Ax+=+2+-+1%2Ay\", or \"x+=+2%2F1+-+1%2Ay%2F1\". Substitute that
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\n" ); document.write( " \"1%2A%282%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+0\" and simplify: So, we know that y=1. Since \"x+=+2%2F1+-+1%2Ay%2F1\", x=1.
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\n" ); document.write( " Answer: \"system%28+x=1%2C+y=1+%29\".
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Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:

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  • Graphical form: \"x%5E2-2x\" simplifies to \"3\"
  • Text form: x^2-2x simplifies to 3
  • Cartoon (animation) form: \"simplify_cartoon%28+x%5E2-2x+%29\"
    For tutors: simplify_cartoon( x^2-2x )
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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+x+%29%5E2-2%2Ax\".
Replaced x with 3
It becomes \"highlight_green%28+3+%29%5E2-2%2Ax\".
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Look at \"highlight_red%28+3+%29%5Ehighlight_red%28+2+%29-2%2Ax\".
Replace constants in factor: \"highlight_red%28+3+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+9+%29\"
It becomes \"highlight_green%28+9+%29-2%2Ax\".
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Look at \"9-2%2Ahighlight_red%28+x+%29\".
Replaced x with 3
It becomes \"9-2%2Ahighlight_green%28+3+%29\".
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Look at \"highlight_red%28+9+%29-highlight_red%28+2%2A3+%29\".
Replace constants in expression: \"highlight_red%28+9+%29\",\"highlight_red%28+-2%2A3+%29\" with \"highlight_green%28+3+%29\"
It becomes \"highlight_green%28+3+%29\".
Result: \"3\"
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Universal Simplifier and Solver

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Done!
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Solved by pluggable solver: SOLVE a linear equation
Solve \"2%2Ax%2B1=5\". Move 1 to the right: \"2%2Ax=5-1\". Divide by 2: \"x=%285-1%29%2F2=4%2F2+=+2\"

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