document.write( "Question 744845: x and y are two numbers where x is greater than y.
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document.write( "the sum of the two numbers is 20.
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document.write( "twice the larger number is equal to 3 times the smaller one.
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document.write( "(a) Write down a [pair of simultaneous equations in x and y.
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document.write( "(b) Solve the simultaneous equations in (a), to find the two numbers. \n" );
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Algebra.Com's Answer #453582 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x+y=20>>>>>>>>>>>>>>>>>>>>(1)\r \n" ); document.write( "\n" ); document.write( "2x=3y\r \n" ); document.write( "\n" ); document.write( "2x-3y=0>>>>>>>>>>>>>>>>>>(2)\r \n" ); document.write( "\n" ); document.write( "multiply first equation by 3\r \n" ); document.write( "\n" ); document.write( "3x+3y=60 \n" ); document.write( "add to (2)\r \n" ); document.write( "\n" ); document.write( "5x=60\r \n" ); document.write( "\n" ); document.write( "x=12\r \n" ); document.write( "\n" ); document.write( "substitute x=12 in equation (1)\r \n" ); document.write( "\n" ); document.write( "x+y=20 \n" ); document.write( "12+y=20 \n" ); document.write( "y=20-12 \n" ); document.write( "x=12 \n" ); document.write( "y=8\r \n" ); document.write( "\n" ); document.write( "x=12 & y =8 \n" ); document.write( " |