document.write( "Question 536534: the tens place of a two digit number is one less than half of the ones place. three times the ones place is equal to 8 times the tens place. what is the number? \n" ); document.write( "
Algebra.Com's Answer #352435 by fcabanski(1391)\"\" \"About 
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Call the number xy. x is the tens place, y is the ones place.


\n" ); document.write( "Equation 1: x = 1/2y -1 (the tens place of a two digit number is one less than half of the ones place)


\n" ); document.write( "Equation 2: 8x=3y (three times the ones place is equal to 8 times the tens place)


\n" ); document.write( "Two unknowns can be solved with two equations. Set y in terms of x in equation two, then substitute that into equation 1.


\n" ); document.write( "3y=8x


\n" ); document.write( "Divide both sides by 3.


\n" ); document.write( "y=8/3x


\n" ); document.write( "x = 1/2(8/3x) - 1


\n" ); document.write( "x = 4/3 x - 1


\n" ); document.write( "Subtract x from both sides.


\n" ); document.write( "-1/3x = -1


\n" ); document.write( "Multiply both sides by -3.


\n" ); document.write( "x = 3


\n" ); document.write( "3y = 8(3) (From equation 2). Divide both sides by 3.


\n" ); document.write( "The number is 38
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