document.write( "Question 528633: I need help with this problem:
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document.write( "x+y=500 and 5x+10y=3000.
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document.write( "I need to use elimination to solve this problem.
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document.write( "I would really appreciate the help(: \n" );
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Algebra.Com's Answer #349390 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! x+y=500...........(1) \n" ); document.write( "5x+10y=3000.......(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Take (2) \n" ); document.write( "5(x+2y)=5(600) \n" ); document.write( "Divide by 5 both sides \n" ); document.write( "5(x+2y)/5=5(600)/5 \n" ); document.write( "x+2y=600...............(3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract (1) from (3) \n" ); document.write( "x+2y=600...............(3) \n" ); document.write( "-x-y=-500..............(1) \n" ); document.write( "-------------------------- \n" ); document.write( "y=100\r \n" ); document.write( "\n" ); document.write( "Put the value of y in (1) \n" ); document.write( "x+y=500...........(1) \n" ); document.write( "x+100=500 \n" ); document.write( "x=500-100 \n" ); document.write( "x=400\r \n" ); document.write( "\n" ); document.write( "x,y=400,100\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "===== \n" ); document.write( "Put the value of x and y (1) \n" ); document.write( "x+y=500...........(1) \n" ); document.write( "400+100=500 \n" ); document.write( "500=500 \n" ); document.write( "Put the value of y in (2) \n" ); document.write( "5x+10y=3000.......(2) \n" ); document.write( "5(400)+10(100)=3000 \n" ); document.write( "2000+1000=3000 \n" ); document.write( "3000=3000 \n" ); document.write( " |