document.write( "Question 262876: A certain two-digit number has a value that is 2 more than 6 times the sum of its digits. The tens digit is 1 more than the units digit. Find the number by using linear sytems. \n" ); document.write( "
Algebra.Com's Answer #193691 by ankor@dixie-net.com(22740)\"\" \"About 
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let x = the 10's digit
\n" ); document.write( "let y = the units
\n" ); document.write( "then 10x + y = the two digit number
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"A certain two-digit number has a value that is 2 more than 6 times the sum of its digits.\"
\n" ); document.write( "10x + y = 6(x + y) + 2
\n" ); document.write( "10x + y = 6x + 6y + 2
\n" ); document.write( "10x - 6x = 6y - y + 2
\n" ); document.write( "4x = 5y + 2
\n" ); document.write( ":
\n" ); document.write( "\" The tens digit is 1 more than the units digit.\"
\n" ); document.write( "x = y + 1
\n" ); document.write( ":
\n" ); document.write( "Using equation 4x = 5y + 2, replace x with (y+1)
\n" ); document.write( "4(y+1) = 5y + 2
\n" ); document.write( "4y + 4 = 5y + 2
\n" ); document.write( "4 - 2 = 5y - 4y
\n" ); document.write( "2 = y
\n" ); document.write( "then
\n" ); document.write( "x = 3
\n" ); document.write( ";
\n" ); document.write( "32 = \"the number\"
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"A certain two-digit number has a value that is 2 more than 6 times the sum of its digits. \"
\n" ); document.write( "32 = 6(3+2) + 2; confirms our solution \n" ); document.write( "
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