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You can put this solution on YOUR website!
Let x = the tens digit
\n" ); document.write( "Let y = the units
\n" ); document.write( "then 10x+y = \"the number\"
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement, just as it says:
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\n" ); document.write( "\"The tens digit of a given two-digit positive number is two more than three times the units digit.\"
\n" ); document.write( "x = 3y + 2
\n" ); document.write( ":
\n" ); document.write( "\"If the digits are reversed, the new number is 13 less than half the given number.\"
\n" ); document.write( "10y+x = .5(10x+y) - 13
\n" ); document.write( "10y + x = 5x + .5y - 13
\n" ); document.write( "10y - .5y = 5x - x - 13
\n" ); document.write( "9.5y = 4x - 13
\n" ); document.write( ":
\n" ); document.write( "Find the given integer.
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\n" ); document.write( "From the 1st statement, replace x with (3y+2) in the above equation:
\n" ); document.write( "9.5y = 4(3y+2) - 13
\n" ); document.write( "9.5y = 12y + 8 - 13
\n" ); document.write( "9.5y = 12y - 5
\n" ); document.write( "+5 = 12y - 9.5y
\n" ); document.write( "5 = 2.5y
\n" ); document.write( "y =
\n" ); document.write( "y = 2
\n" ); document.write( "then
\n" ); document.write( "x = 3(2) + 2
\n" ); document.write( "x = 8
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\n" ); document.write( "82 is the number
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"If the digits are reversed, the new number is 13 less than half the given number.\"
\n" ); document.write( "28 = .5(82) - 13
\n" ); document.write( "28 = 41 - 13 \n" ); document.write( "