document.write( "Question 314424: the sum of two numbers is 133. four times the smaller number equals 3 times the greater number. what are the numbers? \n" ); document.write( "

Algebra.Com's Answer #224766 by Jstrasner(112) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hey, \r
\n" ); document.write( "\n" ); document.write( "For this one you need to just write it all out\r
\n" ); document.write( "\n" ); document.write( "You know two things:\r
\n" ); document.write( "\n" ); document.write( "x+y=133\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "4x=3y\r
\n" ); document.write( "\n" ); document.write( "what you want to do is substitute these numbers for each other:\r
\n" ); document.write( "\n" ); document.write( "If you minus both sides by y in the first equation you'll get:\r
\n" ); document.write( "\n" ); document.write( "x=133-y\r
\n" ); document.write( "\n" ); document.write( "Then you can put this into the other equation:\r
\n" ); document.write( "\n" ); document.write( "4(133-y)=3y => 532-4y=3y => 532=7y => y=532/7 => y=76\r
\n" ); document.write( "\n" ); document.write( "You can then put this back into the original equation:\r
\n" ); document.write( "\n" ); document.write( "x+76=133 => x=133-76 => x=57\r
\n" ); document.write( "\n" ); document.write( "I hope this helped! \n" ); document.write( "

\n" );