document.write( "Question 446151: Select the set of equations that represents the following situation: The sum of two numbers is 73, and their difference is thirty-two less than the smaller number. What are the two numbers?
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document.write( "I am really unclear as to this problem, I think I start it off like this,
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document.write( "x+y=73\r
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document.write( "But I am at a loss for the rest. Any assistance would be helpful.\r
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document.write( "Thanks \r
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document.write( "Phil \n" );
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Algebra.Com's Answer #307224 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x+y=73..............1 \n" ); document.write( "x-y = y-32 \n" ); document.write( "x-2y=-32 .........2\r \n" ); document.write( "\n" ); document.write( "1 x + 1 y = 73 .............1 \n" ); document.write( "1 x + -2 y = -32 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 2 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "2x+2y=146 \n" ); document.write( "x-2y=-32 \n" ); document.write( "Add the two equations \n" ); document.write( "3x=114 \n" ); document.write( "/3 \n" ); document.write( "x=38 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "x+y=73 \n" ); document.write( "38+y=73 \n" ); document.write( "y=73-38 \n" ); document.write( "y=35 \n" ); document.write( " \n" ); document.write( " |