document.write( "Question 551276: One number is five more than three times a smaller one. If four times the larger number is subtracted from twice the smaller one, the result is 0. Find each of the numbers. Please help me!! \n" ); document.write( "
Algebra.Com's Answer #359589 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let a = the larger number
\n" ); document.write( "Let b = the smaller
\n" ); document.write( ":
\n" ); document.write( "One number is five more than three times a smaller one.
\n" ); document.write( "a = 3b + 5
\n" ); document.write( ":
\n" ); document.write( "If four times the larger number is subtracted from twice the smaller one, the result is 0.
\n" ); document.write( "2b - 4a = 0
\n" ); document.write( "replace a with (3b+5)
\n" ); document.write( "2b - 4(3b+5) = 0
\n" ); document.write( "2b - 12b - 20 = 0
\n" ); document.write( "-10b = 20
\n" ); document.write( "b = \"20%2F%28-10%29\"
\n" ); document.write( "b = -2
\n" ); document.write( "then
\n" ); document.write( "a = 3(-2) + 5
\n" ); document.write( "a = -6 + 5
\n" ); document.write( "a = -1
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out in the statement:
\n" ); document.write( "\"four times the larger number is subtracted from twice the smaller one, the result is 0.
\n" ); document.write( "2(-2) - 4(-1) = 0
\n" ); document.write( "-4 + 4 = 0
\n" ); document.write( "
\n" );