document.write( "Question 225860: Solve: \"%2810%29%2F%28a-7%29+=+%28-4%29%2F%28a%2B4%29\" \n" ); document.write( "
Algebra.Com's Answer #168368 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Solve: \"%2810%29%2F%28a-7%29+=+%28-4%29%2F%28a%2B4%29\"\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Multiply by (a-7)(a+4) to both sides of the equation to get rid of denominators.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%29%28a-7%29%28a%2B4%29%2F%28a-7%29+=+%28-4%29%28a-7%29%28a%2B4%29%2F%28a%2B4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"10%28a%2B4%29=-4%28a-7%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"10a%2B40=-4a%2B28\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Add 4a-40 to both sides of the equation to get numbers on one side and variables on the other side.\r
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\n" ); document.write( "\n" ); document.write( "\"10a%2B40%2B4a-40=-4a%2B28%2B4a-40\"\r
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\n" ); document.write( "\n" ); document.write( "\"14a=-12\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Divide by 14 to both sides of the equation to get a.\r
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\n" ); document.write( "\n" ); document.write( "\"14a%2F14=-12%2F14\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=-12%2F14\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=-6%2F7\"\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Check solution with original equation \"%2810%29%2F%28a-7%29+=+%28-4%29%2F%28a%2B4%29\" to see if it leads to a true statement.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%29%2F%28-6%2F7-7%29+=+%28-4%29%2F%28-6%2F7%2B4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"10%2F%28%28-6-49%29%2F7%29=%28-4%29%2F%28%28-6%2B28%29%2F7%29\"\r
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\n" ); document.write( "\"10%2F%28-55%2F7%29=%28-4%29%2F%2822%2F7%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"-70%2F55=-28%2F22\"\r
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\n" ); document.write( "\n" ); document.write( "\"-14%2F11=-14%2F11\" which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER is \"a=-6%2F7\"\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( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV\r
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