document.write( "Question 267386: The difference of two numbers is 37. The larger number is three less than six times the smaller number. \n" ); document.write( "

Algebra.Com's Answer #196261 by unlockmath(1688) $\"\"$ $\"About$

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Hello,
\n" ); document.write( "We can set up two different equations and solve. Let x be one number and y be another so we'll have these two equations:
\n" ); document.write( "x-y=37
\n" ); document.write( "x=6y-3
\n" ); document.write( "We can now plug the second equation into the first like this:
\n" ); document.write( "(6y-3)-y=37 Combine like terms and add 3 to both sides to get:
\n" ); document.write( "5y=40 Divide each side by 5 to result in:
\n" ); document.write( "y=8 This is the smaller number
\n" ); document.write( "x=45
\n" ); document.write( "Now plug these numbers into the equations above to see if it works.
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
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