document.write( "Question 267695: one number is 3 more than another. the smaller number decreased by four times the larger number is the same as 12 less than six times the larger number. What is the larger number \n" ); document.write( "
Algebra.Com's Answer #196446 by ankor@dixie-net.com(22740)\"\" \"About 
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one number is 3 more than another.
\n" ); document.write( "x = y + 3
\n" ); document.write( "or
\n" ); document.write( "y = x - 3
\n" ); document.write( ":
\n" ); document.write( "the smaller number decreased by four times the larger number is the same as 12 less than six times the larger number.
\n" ); document.write( "y - 4(x) = 6x - 12
\n" ); document.write( "y = 6x + 4x - 12
\n" ); document.write( "y = 10x - 12
\n" ); document.write( "Replace y with x-3
\n" ); document.write( "x - 3 = 10x - 12
\n" ); document.write( "-3 + 12 = 10x - x
\n" ); document.write( "9 = 9x
\n" ); document.write( "x = 1 is the larger number
\n" ); document.write( ":
\n" ); document.write( "then to check it find y
\n" ); document.write( "y = 1 - 3
\n" ); document.write( "y = -2
\n" ); document.write( ":
\n" ); document.write( "Using the 2nd equation:
\n" ); document.write( "-2 - 4(1) = 6(1) - 12
\n" ); document.write( "-6 = -6\r
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