document.write( "Question 1050370: Joseph invests $5100 in two different accounts. The first account paid 9 %, the second account paid 3 % in interest. At the end of the first year he had earned $243 in interest. How much was in each account? \n" ); document.write( "
Algebra.Com's Answer #665941 by advanced_Learner(501)\"\" \"About 
You can put this solution on YOUR website!
0.09x+(5100-x)*0.03=243\r
\n" ); document.write( "\n" ); document.write( "9x+(15300-3x)=24300\r
\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: x=1500.
    • \n" ); document.write( "
  • Graphical form: Equation \"9x%2B15300-3x=24300\" was fully solved.
  • Text form: 9x+15300-3x=24300 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+9x%2B15300-3x=24300+%29\"
    For tutors: simplify_cartoon( 9x+15300-3x=24300 )
    • \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 \"9%2Ax%2Bhighlight_red%28+15300+%29-3%2Ax=24300\".
Moved \"15300\" to the right of expression
It becomes \"9%2Ax-3%2Ax%2Bhighlight_green%28+15300+%29=24300\".
\n" ); document.write( "
Look at \"highlight_red%28+9%2Ax+%29-highlight_red%28+3%2Ax+%29%2B15300=24300\".
Eliminated similar terms \"highlight_red%28+9%2Ax+%29\",\"highlight_red%28+-3%2Ax+%29\" replacing them with \"highlight_green%28+%289-3%29%2Ax+%29\"
It becomes \"highlight_green%28+%289-3%29%2Ax+%29%2B15300=24300\".
\n" ); document.write( "
Look at \"%28highlight_red%28+9+%29-highlight_red%28+3+%29%29%2Ax%2B15300=24300\".
Added fractions or integers together
It becomes \"%28highlight_green%28+6+%29%29%2Ax%2B15300=24300\".
\n" ); document.write( "
Look at \"highlight_red%28+%28highlight_red%28+6+%29%29%2Ax+%29%2B15300=24300\".
Remove unneeded parentheses around factor \"highlight_red%28+6+%29\"
It becomes \"highlight_green%28+6+%29%2Ax%2B15300=24300\".
\n" ); document.write( "
Look at \"6%2Ax%2B15300=highlight_red%28+24300+%29\".
Moved these terms to the left \"highlight_green%28+-24300+%29\"
It becomes \"6%2Ax%2B15300-highlight_green%28+24300+%29=0\".
\n" ); document.write( "
Look at \"6%2Ax%2Bhighlight_red%28+15300+%29-highlight_red%28+24300+%29=0\".
Added fractions or integers together
It becomes \"6%2Ax%2Bhighlight_green%28+-9000+%29=0\".
\n" ); document.write( "
Look at \"6%2Ax%2Bhighlight_red%28+-9000+%29=0\".
Removed extra sign in front of \"-9000\"
It becomes \"6%2Ax-highlight_green%28+9000+%29=0\".
\n" ); document.write( "
Look at \"highlight_red%28+6%2Ax-9000+%29=0\".
Solved linear equation \"highlight_red%28+6%2Ax-9000=0+%29\" equivalent to 6*x-9000 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=1500.

Universal Simplifier and Solver

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