document.write( "Question 201237: The sum of three numbers is 15, the sum of twice the first number,4 times the second number and five times the the third number is 49. the difference between 4 times the first number and the second number is 23. find the three numbers in there order??? \n" ); document.write( "

Algebra.Com's Answer #151449 by Alan3354(69443) $\"\"$ $\"About$

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The sum of three numbers is 15, the sum of twice the first number,4 times the second number and five times the the third number is 49. the difference between 4 times the first number and the second number is 23. find the three numbers
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\n" ); document.write( "x + y + z = 15
\n" ); document.write( "2x+4y +5z = 49
\n" ); document.write( "4x-y = 23
\n" ); document.write( "--------------
\n" ); document.write( "Add Eqn 1 and 3
\n" ); document.write( "5x + z = 38 Eqn A
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\n" ); document.write( "Multiply eqn 3 by 4 and add to eqn 2.
\n" ); document.write( "2x+4y +5z = 49
\n" ); document.write( "16x-4y = 92
\n" ); document.write( "--------------
\n" ); document.write( "18x + 5z = 141 Eqn B
\n" ); document.write( "Multiply Eqn A by -5 and add it to Eqn B
\n" ); document.write( "18x + 5z = 141 Eqn B
\n" ); document.write( "-25x -5z = -190
\n" ); document.write( "----------------
\n" ); document.write( "-7x = -49
\n" ); document.write( "x = 7 xxxxxxxxxxxxxxxx
\n" ); document.write( "Sub for x into Eqn A
\n" ); document.write( "5*7 + z = 38
\n" ); document.write( "z = 3 zzzzzzzzzzzzzzzzz
\n" ); document.write( "Sub for x and z into eqn 1
\n" ); document.write( "x + y + z = 15
\n" ); document.write( "7 + y + 3 = 15
\n" ); document.write( "y = 5 yyyyyyyyyyyyyyyy
\n" ); document.write( "7, 5, 3 are the numbers. \n" ); document.write( "

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