document.write( "Question 858157: The sum of three numbers is 3. The sum of twice the first number, 3times the second number, and 4times the third number is 7. The difference between 5 times the first number and the second number is 16. Find the three numbers. \n" ); document.write( "
Algebra.Com's Answer #517072 by lwsshak3(11628)\"\" \"About 
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The sum of three numbers is 3. The sum of twice the first number, 3times the second number, and 4times the third number is 7. The difference between 5 times the first number and the second number is 16. Find the three numbers.
\n" ); document.write( "***
\n" ); document.write( "let x=1st number
\n" ); document.write( "let y=2d number
\n" ); document.write( "let z=3rd number
\n" ); document.write( "..
\n" ); document.write( "x+y+z=3
\n" ); document.write( "2x+3y+4z=7
\n" ); document.write( "5x-y=16
\n" ); document.write( "..
\n" ); document.write( "4x+4y+4z=12
\n" ); document.write( "2x+3y+4z=7
\n" ); document.write( "subtract
\n" ); document.write( "2x+y=5
\n" ); document.write( "5x-y=16
\n" ); document.write( "add
\n" ); document.write( "7x=21
\n" ); document.write( "x=3
\n" ); document.write( "y=5-2x=-1
\n" ); document.write( "z=3-x-y=1
\n" ); document.write( "...
\n" ); document.write( "check:
\n" ); document.write( "x+y+z=3-1+1=3
\n" ); document.write( "2x+3y+4z=6-3+4=7
\n" ); document.write( "5x-y=15-(-1)=16
\n" ); document.write( "..
\n" ); document.write( "1st number=3
\n" ); document.write( "2nd number=-1
\n" ); document.write( "3rd number=1\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );