document.write( "Question 225110: One number is 2 more than 5 times another. Their product is 3. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #168115 by LtAurora(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
The following relatiosn can be set up from the given information:
\n" ); document.write( " $\"A=5B%2B2\"$
\n" ); document.write( " $\"AB=3\"$
\n" ); document.write( "We can plug the first equation into the second:
\n" ); document.write( " $\"%285B%2B2%29B=3\"$
\n" ); document.write( "Distribute the B:
\n" ); document.write( " $\"5B%5E2%2B2B=3\"$
\n" ); document.write( "Move the 3 to the other side
\n" ); document.write( " $\"5B%5E2%2B2B-3=0\"$
\n" ); document.write( "This factors down to:
\n" ); document.write( " $\"%285B-3%29%28B%2B1%29=0\"$
\n" ); document.write( "Set these each equal to zero and solve:
\n" ); document.write( " $\"5B-3=0\"$ , $\"B%2B1=0\"$
\n" ); document.write( " $\"5B=3\"$ , $\"B=-1\"$
\n" ); document.write( " $\"B=3%2F5\"$
\n" ); document.write( "So, we have two possible answers, $\"B=3%2F5\"$ , $\"B=-1\"$ .
\n" ); document.write( "Plug this back into the first equation:
\n" ); document.write( " $\"A=5%283%2F5%29%2B2\"$
\n" ); document.write( " $\"A=5\"$
\n" ); document.write( "and
\n" ); document.write( " $\"A=5%28-1%29%2B2\"$
\n" ); document.write( " $\"A=-3\"$ \r
\n" ); document.write( "\n" ); document.write( "Thus, the sets of equations are: $\"A=5\"$ , $\"B=3%2F5\"$ AND $\"A=-3\"$ , $\"B=-1\"$ . \n" ); document.write( "

\n" );