document.write( "Question 215395: 10k-9=9k+10 \n" ); document.write( "
Algebra.Com's Answer #162746 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
\"10k-9=9k%2B10\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


\n" ); document.write( "\n" ); document.write( "
    \n" ); document.write( "
  • This is an equation! Solutions: k=19.
    • \n" ); document.write( "
  • Graphical form: Equation \"10k-9=9k%2B10\" was fully solved.
  • Text form: 10k-9=9k+10 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+10k-9=9k%2B10+%29\"
    For tutors: simplify_cartoon( 10k-9=9k+10 )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at \"10%2Ak-9=highlight_red%28+9%2Ak%2B10+%29\".
Moved these terms to the left \"highlight_green%28+-9%2Ak+%29\",\"highlight_green%28+-10+%29\"
It becomes \"10%2Ak-9-highlight_green%28+9%2Ak+%29-highlight_green%28+10+%29=0\".
\n" ); document.write( "
Look at \"10%2Ak-highlight_red%28+9+%29-9%2Ak-highlight_red%28+10+%29=0\".
Added fractions or integers together
It becomes \"10%2Ak%2Bhighlight_green%28+-19+%29-9%2Ak=0\".
\n" ); document.write( "
Look at \"10%2Ak%2Bhighlight_red%28+-19+%29-9%2Ak=0\".
Moved \"-19\" to the right of expression
It becomes \"10%2Ak-9%2Ak%2Bhighlight_green%28+-19+%29=0\".
\n" ); document.write( "
Look at \"10%2Ak-9%2Ak%2Bhighlight_red%28+-19+%29=0\".
Removed extra sign in front of \"-19\"
It becomes \"10%2Ak-9%2Ak-highlight_green%28+19+%29=0\".
\n" ); document.write( "
Look at \"highlight_red%28+10%2Ak+%29-highlight_red%28+9%2Ak+%29-19=0\".
Eliminated similar terms \"highlight_red%28+10%2Ak+%29\",\"highlight_red%28+-9%2Ak+%29\" replacing them with \"highlight_green%28+%2810-9%29%2Ak+%29\"
It becomes \"highlight_green%28+%2810-9%29%2Ak+%29-19=0\".
\n" ); document.write( "
Look at \"highlight_red%28+%2810-9%29+%29%2Ak-19=0\".
Remove extraneous '1' from product \"highlight_red%28+%2810-9%29+%29\"
It becomes \"k-19=0\".
\n" ); document.write( "
Look at \"highlight_red%28+k-19+%29=0\".
Solved linear equation \"highlight_red%28+k-19=0+%29\" equivalent to k-19 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: k=19.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonmetry please visit http://www.FreedomUniversity.TV/courses/Trignometry. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "
\n" );