document.write( "Question 309597: The problem is as follows:
\n" ); document.write( "\" The sum of two integers is ten. Three times the larger integer is three less than eight times the smaller integer. Find the integers. \"\r
\n" ); document.write( "\n" ); document.write( "I need to know how to write and solve an equation for this word problem.\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "
Algebra.Com's Answer #221428 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let a = the smaller integer and b = the larger integer, then:
\n" ); document.write( "1) a+b = 10 \"The sum of two integers is ten.\" and...
\n" ); document.write( "2) 3b = 8a-3 \"Three times the larger integer is three less than eight times the smaller integer.\"
\n" ); document.write( "These are the equations you will need to solve this problem.
\n" ); document.write( "Rewrite equation 1) as:
\n" ); document.write( "1a) b = 10-a and substitute into equation 2) for b.
\n" ); document.write( "2a) 3(10-a) = 8a-3 Solve this for a.
\n" ); document.write( "30-3a = 8a-3 Add 3a to both sides.
\n" ); document.write( "30 = 11a-3 Add 3 to both sides.
\n" ); document.write( "33 = 11a Finally, divide both sides by 11.
\n" ); document.write( "3 = a or a = 3.
\n" ); document.write( "b = 10-a
\n" ); document.write( "b = 10-3 = 7
\n" ); document.write( "The integers are: 3 and 7. \n" ); document.write( "
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