document.write( "Question 226799: The larger of the two numbers is 1 more than 3 times the smaller. The differences between 8 times the smaller and 2 times is 10. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #168844 by ankor@dixie-net.com(22740)\"\" \"About 
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write an equation for each statement; Two numbers; x and y, with x being the larger
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\n" ); document.write( "The larger of the two numbers is 1 more than 3 times the smaller.
\n" ); document.write( "x = 3y + 1
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\n" ); document.write( " The differences between 8 times the smaller and 2 times is 10.
\n" ); document.write( "8y - 2x = 10
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\n" ); document.write( " Find the numbers.
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\n" ); document.write( "Replace x with (3y+1) in the above equation
\n" ); document.write( "8y - 2(3y+1) = 10
\n" ); document.write( "8y - 6y - 2 = 10
\n" ); document.write( "2y = 10 + 2
\n" ); document.write( "2y = 12
\n" ); document.write( "y = 6
\n" ); document.write( "then
\n" ); document.write( "x = 3(6) + 1
\n" ); document.write( "x = 19
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\" The differences between 8 times the smaller and 2 times is 10. \"
\n" ); document.write( "8(6) - 2(19) = 10 \n" ); document.write( "
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