document.write( "Question 165268: There are two numbers whose sum is 50. Three times the first is five more than twice the second. What are the numbers?\r
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Algebra.Com's Answer #121822 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"There are two numbers whose sum is 50\" ---> \"x%2By=50\"\r
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\n" ); document.write( "\n" ); document.write( "\"Three times the first is five more than twice the second\" ---> \"3x=2y%2B5\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By=50\" Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=50-x\" Subtract x from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"3x=2y%2B5\" Move onto the second equation\r
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\n" ); document.write( "\n" ); document.write( "\"3x=2%2850-x%29%2B5\" Plug in \"y=50-x\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x=100-2x%2B5\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"3x=-2x%2B105\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B2x=105\" Add \"2x\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"5x=105\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28105%29%2F%285%29\" Divide both sides by \"5\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=21\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"y=50-x\" Go back to the previously isolated equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=50-21\" Plug in \"x=21\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=29\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=21\" and \"y=29\" which form the ordered pair (21,29)\r
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