document.write( "Question 283593: I have been battling with this problem for over a two hours if someone could please help me. \r
\n" ); document.write( "\n" ); document.write( "The sum of nine times the first number and five times a second number is 24. The second number is seventeen less than twice the first. Find the two numbers.
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Algebra.Com's Answer #205835 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
So what have you tried?
\n" ); document.write( "let a = one number
\n" ); document.write( "b=other number\r
\n" ); document.write( "\n" ); document.write( "....+.......9.....*.........a............+...5....*.........b.........=..24
\n" ); document.write( "The sum of nine times the first number and five times a second number is 24
\n" ); document.write( "9a+5b=24
\n" ); document.write( "........b..........= 17..........-........2a
\n" ); document.write( "......................17 less than =-17
\n" ); document.write( "The second number is seventeen less than twice the first.
\n" ); document.write( "b=-17+2a
\n" ); document.write( "b=2a-17
\n" ); document.write( "b+17=2a
\n" ); document.write( "(b+17/2)=a
\n" ); document.write( "b=2a-17
\n" ); document.write( "9a+5b=24\r
\n" ); document.write( "\n" ); document.write( "I suspect there is a problem with the problem.
\n" ); document.write( "Double check the numbers.
\n" ); document.write( "a = 109/19, b = -105/19
\n" ); document.write( "a is about 5.7 and b is about -5.5\r
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\n" ); document.write( "\n" ); document.write( "b=2a-17
\n" ); document.write( "-105/19=2*109/19-17
\n" ); document.write( "(218-105)/19=17
\n" ); document.write( "113/19=17
\n" ); document.write( "ok\r
\n" ); document.write( "\n" ); document.write( "9a+5b=24
\n" ); document.write( "9*109/19+5*-105/19=24
\n" ); document.write( "981/19=525/19=24
\n" ); document.write( "456/19=24
\n" ); document.write( "456=24*19
\n" ); document.write( "ok
\n" ); document.write( "My answers work. I just don't like them.
\n" ); document.write( "And I don't see anything wrong with the equations.
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