document.write( "Question 220990: The sum of two numbers is 56. The larger exceeds twice the smaller by 2. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "I already tried x+2+2y = 56 with the substitution of x= 56-y
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Algebra.Com's Answer #165798 by drj(1380)\"\" \"About 
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The sum of two numbers is 56. The larger exceeds twice the smaller by 2. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "I already tried x+2+2y = 56 with the substitution of x= 56-y\r
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\n" ); document.write( "\n" ); document.write( "Good effort...I think you made the wrong substitution or equation\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the smaller integer and y be the larger integer.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Then y=2x+2 since the larger exceeds twice the smaller by 2.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. x+y=56 or x=56-y\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then substituting \"x=56-y%29\" into \"y=2x%2B2\" yields the following\r
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\n" ); document.write( "\n" ); document.write( "\"y=2%2856-y%29%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=112-2y%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=114-2y\"\r
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\n" ); document.write( "\n" ); document.write( "Add 2y to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B2y=114-2y%2B2y\"\r
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\n" ); document.write( "\n" ); document.write( "\"3y=114\"\r
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\n" ); document.write( "\n" ); document.write( "Divide by 3 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"3y%2F3=114%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=38\"\r
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\n" ); document.write( "\n" ); document.write( "and \"x=56-y=56-38=18\"\r
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\n" ); document.write( "\n" ); document.write( "Check equation if true in Step 2... 2*x+2=2*18+2=38...which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The numbers are 18 and 38.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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