document.write( "Question 176812: The sum of two numbers is 42. The second is 10 more than 3 times the first. Find the numbers. (Show the two equations you used and then your solution) \n" ); document.write( "

Algebra.Com's Answer #131873 by josmiceli(19441) $\"\"$ $\"About$

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Call the larger nuber $\"y\"$
\n" ); document.write( "Call the smaller number $\"x\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"y+%2B+x+=+42\"$
\n" ); document.write( "(2) $\"y+=+3x+%2B+10\"$
\n" ); document.write( "----------------
\n" ); document.write( "from (1)
\n" ); document.write( "(1) $\"x+=+42+-+y\"$
\n" ); document.write( "substitute in (2)
\n" ); document.write( " $\"y+=+3%2A%2842+-+y%29+%2B+10\"$
\n" ); document.write( " $\"y+=+126+-+3y+%2B+10\"$
\n" ); document.write( " $\"4y+=+136\"$
\n" ); document.write( " $\"y+=+34\"$
\n" ); document.write( "and from (2)
\n" ); document.write( "(2) $\"y+=+3x+%2B+10\"$
\n" ); document.write( " $\"34+=+3x+%2B+10\"$
\n" ); document.write( " $\"3x+=+34+-+10\"$
\n" ); document.write( " $\"3x+=+24\"$
\n" ); document.write( " $\"x+=+8\"$
\n" ); document.write( "The numbers are 34 and 8 \n" ); document.write( "

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