document.write( "Question 98828: the smaller of two numbers is 10 less than 4times the greater number.the greater number is 19 more than the smaller.find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #71901 by ankor@dixie-net.com(22740)\"\" \"About 
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\n" ); document.write( "Let x = the smaller number & y = the larger
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\n" ); document.write( "the smaller of two numbers is 10 less than 4 times the greater number.
\n" ); document.write( " x = 4y - 10
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\n" ); document.write( "the greater number is 19 more than the smaller.
\n" ); document.write( "y = x + 19
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\n" ); document.write( "find the two numbers.
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\n" ); document.write( "Substitute (4y-10) for x in the above equation
\n" ); document.write( " y = (4y-10) + 19
\n" ); document.write( " y - 4y = 19 - 10
\n" ); document.write( " -3y = +9
\n" ); document.write( " y = 9/-3
\n" ); document.write( " y = -3, the larger number
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\n" ); document.write( "x = 4y - 10
\n" ); document.write( "x = 4(-3) -10
\n" ); document.write( "x = -12 - 10
\n" ); document.write( "x = -22, the smaller number
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\n" ); document.write( "Check solution in the 2nd equation:
\n" ); document.write( "y = x + 19
\n" ); document.write( "-3 = -22 + 19
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