document.write( "Question 227843: x + y = 7
\n" ); document.write( "x + 3y = 11
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Algebra.Com's Answer #169270 by drj(1380)\"\" \"About 
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\"x+%2B+y+=+7\" Equation A
\n" ); document.write( "\"x+%2B+3y+=+11\" Equation B\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Subtract Equation A from Equation B (or Equation B - Equation A) to eliminate x\r
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\n" ); document.write( "\n" ); document.write( "\"x-x%2B3y-y=11-7\"\r
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\n" ); document.write( "\n" ); document.write( "\"2y=4\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Divide by 2 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"2y%2F2=4%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=2\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Now Substitute \"y=2\" into equation A \"x+%2B+y+=+7\" to find x\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2=7\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 2 from both sides to get x.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B2-2=7-2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=5\"\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Now we have \"x=5\" and \"y=2\" as a solution. Check to see if this also satisfies equation B \"x+%2B+3y+=+11\".\r
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\n" ); document.write( "\n" ); document.write( "\"5%2B3%2A2=11\"\r
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\n" ); document.write( "\n" ); document.write( "\"11=11\" which is a true statement\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The solution is \"x=5\" and \"y=2\". Or the intersection point between these two lines is (5,2). See graph below,\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28400%2C400%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B7%2C+-x%2F3%2B11%2F3%29\"\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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And 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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