document.write( "Question 215480: Solve by using the elimination method\r
\n" ); document.write( "\n" ); document.write( "7x+6y=11
\n" ); document.write( "7x-6y=-25
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Algebra.Com's Answer #162831 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Solve by using the elimination method\r
\n" ); document.write( "\n" ); document.write( "\"7x%2B6y=11\" Equation A
\n" ); document.write( "\"7x-6y=-25\" Equation B\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Subtract Equation B from Equation A\r
\n" ); document.write( "\n" ); document.write( "\"7x-7x%2B6y-%28-6y%29=11-%28-25%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"12y=36\"\r
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\n" ); document.write( "\n" ); document.write( "\"12y%2F12=36%2F12\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Now add Equation A and B.\r
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\n" ); document.write( "\n" ); document.write( "\"7x%2B7x%2B6y-6y=11-25\"\r
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\n" ); document.write( "\n" ); document.write( "\"14x=-14\"\r
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\n" ); document.write( "\n" ); document.write( "\"14x%2F14=-14%2F14\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=-1\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. We can check if x=-1 and y=3 satisfies Equations A and B\r
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\n" ); document.write( "\n" ); document.write( "\"7x%2B6y=7%2A%28-1%29%2B6%2A3=-7%2B18=11\" Equation A and is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "\"7x-6y=7%2A%28-1%29-6%2A3=-7-18=-25\" Equation B and is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. ANSWER: The solution is (-1,3) or x=-1 and y=3.\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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