document.write( "Question 1152045: The sum of 2 numbers is 21.3/4 of one of the number is added to 2/3 of the other gives a sum of 15.Find the two numbers.please with step by step explanation.
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Algebra.Com's Answer #773949 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Write an equation for each statement
\n" ); document.write( "Do what is necessary to get rid of the fractions
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\n" ); document.write( "The sum of 2 numbers is 21.3/4
\n" ); document.write( "x + y = 21 $\"3%2F4\"$
\n" ); document.write( "in the improper fraction form
\n" ); document.write( "x + y = $\"87%2F4\"$
\n" ); document.write( "multiply by 4
\n" ); document.write( "4x + 4y = 87
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\n" ); document.write( "If one of the number is added to 2/3 of the other gives a sum of 15.
\n" ); document.write( "x + $\"2%2F3\"$ y = 15
\n" ); document.write( "multiply by 3
\n" ); document.write( "3x + 2y = 45
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\n" ); document.write( "use elimination, multiply the 2nd equation by 2, subtract the 1st equation
\n" ); document.write( "6x + 4y = 90
\n" ); document.write( "4x + 4y = 87
\n" ); document.write( "-------------------subtraction eliminates y, find x
\n" ); document.write( "2x + 0 = 3
\n" ); document.write( "x = 3/2
\n" ); document.write( "x = 1.5 or 1 $\"1%2F2\"$
\n" ); document.write( "find y using the 1st simplified equation
\n" ); document.write( "4(1.5) + 4y = 87
\n" ); document.write( "6 + 4y = 87
\n" ); document.write( "4y = 87 - 6
\n" ); document.write( "4y = 81
\n" ); document.write( "y = 81/4
\n" ); document.write( "y = 20.25 or 20 $\"1%2F4\"$
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\n" ); document.write( "Check:
\n" ); document.write( "1.5 + 20.25 = 21.75 which is 21 $\"3%2F4\"$ \r
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