document.write( "Question 229941: x-2y=3
\n" ); document.write( "5x+4y=8
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Algebra.Com's Answer #170390 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
\"x-2y=3\" Equation A
\n" ); document.write( "\"5x%2B4y=8\" Equation B\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Multiply Equation A by 2 to both sides of the equation \r
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\n" ); document.write( "\n" ); document.write( "\"2x-4y=6\" Equation A1
\n" ); document.write( "\"5x%2B4y=8\" Equation B\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Add Equations A1 and B to get rid of the y-terms\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B5x-cross%284y%29%2Bcross%284y%29=6%2B8\"\r
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\n" ); document.write( "\n" ); document.write( "\"7x=14\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Divide by seven to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"cross%287%29x%2Fcross%287%29=14%2F7\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=2\"\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Substitute \"x=2\" into Equation A \"x-2y=3\" to get y\r
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\n" ); document.write( "\n" ); document.write( "\"2-2y=3\"\r
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\n" ); document.write( "\n" ); document.write( "Add 2y-3 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"2-cross%282y%29%2Bcross%282y%29-3=cross%283%29%2B2y-cross%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"-1=2y\"\r
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\n" ); document.write( "\n" ); document.write( "Divide by 2 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"-1%2F2=cross%282%29y%2Fcross%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-1\"\r
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\n" ); document.write( "\n" ); document.write( "Check solution \"x=2\" and \"y=-1%2F2\" into Equation B \"5x%2B4y=8\" \r
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\n" ); document.write( "\n" ); document.write( "\"5%2A2%2B4%2A%28-1%2F2%29=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"10-2=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"8=8\" which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: The solution is \"x=2\" and \"y=-1%2F2\" or (2, -1/2) our intersection point.\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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