document.write( "Question 19786: He is the question below. I need to define the variable for x and y, write the appropriate equations, and solve the equation by either substitution, addition, or graphically. THX! \r
\n" ); document.write( "\n" ); document.write( "- The difference of two numbers is nine more than the smaller number, and the sum of the two numbers is 54. Find the smaller number.
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Algebra.Com's Answer #9569 by xcentaur(357)\"\" \"About 
You can put this solution on YOUR website!
let the larger number be x
\n" ); document.write( "let the smaller number be y
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\n" ); document.write( "difference of two numbers means (x-y)
\n" ); document.write( "this difference is nine more than the smaller number
\n" ); document.write( "x-y=9+y
\n" ); document.write( "x-y-y=9
\n" ); document.write( "x-2y=9......[1]
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\n" ); document.write( "the sum of the two numbers is 54
\n" ); document.write( "x+y=54.......[2]
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\n" ); document.write( "take the two equations together,
\n" ); document.write( "x-2y=9
\n" ); document.write( "x+y=54
\n" ); document.write( "subtract equation [2] from [1]
\n" ); document.write( "x-2y-(x+y)=9-54
\n" ); document.write( "x-2y-x-y=-45
\n" ); document.write( "-3y=-45
\n" ); document.write( "3y=45
\n" ); document.write( "y=15
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\n" ); document.write( "x+y=54
\n" ); document.write( "x=54-y=54-15=39
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\n" ); document.write( "x=39,y=15
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\n" ); document.write( "Hope this helps,
\n" ); document.write( "Prabhat \n" ); document.write( "

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