document.write( "Question 225987: the sum of two numbers is 42. If the larger number is 3 more than triple the number find both numbers \n" ); document.write( "

Algebra.Com's Answer #168433 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
The sum of two numbers is 42. If the larger number is 3 more than triple the number find both numbers\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the larger number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Let 42-x be the other and smaller number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Then, x=3+3(42-x) where I assume you meant the larger number is 3 more than triple the smaller number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. Solving the equation in Step 3 yields the following steps\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( "

This is an equation! Solutions: x=32.25.
Graphical form: Equation $\"x=3%2B3%2A%2842-x%29\"$ was fully solved.
Text form: x=3+3*(42-x) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+x=3%2B3%2A%2842-x%29+%29\"$
For tutors: simplify_cartoon( x=3+3*(42-x) )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"x=3%2B3%2A%28highlight_red%28+42+%29-x%29\"$ .
Moved $\"42\"$ to the right of expression
It becomes $\"x=3%2B3%2A%28-x%2Bhighlight_green%28+42+%29%29\"$ .
\n" ); document.write( "

Look at $\"x=highlight_red%28+3+%29%2B3%2A%28-x%2B42%29\"$ .
Moved $\"3\"$ to the right of expression
It becomes $\"x=3%2A%28-x%2B42%29%2Bhighlight_green%28+3+%29\"$ .
\n" ); document.write( "

Look at $\"x=highlight_red%28+3%2A%28-x%2B42%29%2B3+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-3%2A%28-x%2B42%29+%29\"$ , $\"highlight_green%28+-3+%29\"$
It becomes $\"x-highlight_green%28+3%2A%28-x%2B42%29+%29-highlight_green%28+3+%29=0\"$ .
\n" ); document.write( "

Look at $\"x-highlight_red%28+3%2A%28-x%2B42%29+%29-3=0\"$ .
Expanded term $\"-3\"$ by using associative property on $\"%28-x%2B42%29\"$
It becomes $\"x%2Bhighlight_green%28+3%2Ax+%29-highlight_green%28+3%2A42+%29-3=0\"$ .
\n" ); document.write( "

Look at $\"x%2B3%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+42+%29-3=0\"$ .
Multiplied numerator integers
It becomes $\"x%2B3%2Ax-highlight_green%28+126+%29-3=0\"$ .
\n" ); document.write( "

Look at $\"x%2B3%2Ax-highlight_red%28+126+%29-highlight_red%28+3+%29=0\"$ .
Added fractions or integers together
It becomes $\"x%2B3%2Ax%2Bhighlight_green%28+-129+%29=0\"$ .
\n" ); document.write( "

Look at $\"x%2B3%2Ax%2Bhighlight_red%28+-129+%29=0\"$ .
Removed extra sign in front of $\"-129\"$
It becomes $\"x%2B3%2Ax-highlight_green%28+129+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+x+%29%2Bhighlight_red%28+3%2Ax+%29-129=0\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+3%2Ax+%29\"$ replacing them with $\"highlight_green%28+%281%2B3%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2B3%29%2Ax+%29-129=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+3+%29%29%2Ax-129=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+4+%29%29%2Ax-129=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29-129=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"highlight_green%28+4+%29%2Ax-129=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+4%2Ax-129+%29=0\"$ .
Solved linear equation $\"highlight_red%28+4%2Ax-129=0+%29\"$ equivalent to 4*x-129 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=32.25.

Universal Simplifier and Solver

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

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let x=32.25, then 42-32.25=9.75. Check if equation is satisfied in Step 3.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "32.25=3+3*9.75 which is a true statement.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV
\n" ); document.write( " \n" ); document.write( "

\n" );