document.write( "Question 1205196: What is the answer to this elimination equation
\n" ); document.write( "-4x+3y=-14
\n" ); document.write( "-2x-4y=-18
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Algebra.Com's Answer #841848 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"-4x%2B3y=-14\".....eq.1
\n" ); document.write( "\"-2x-4y=-18\".....eq.2
\n" ); document.write( "------------------------------\r
\n" ); document.write( "\n" ); document.write( "using method of elimination to solve this system\r
\n" ); document.write( "\n" ); document.write( "\"-4x%2B3y=-14\".....eq.1
\n" ); document.write( "\"-2x-4y=-18\".....eq.2.....both sides multiply by \"2\"\r
\n" ); document.write( "\n" ); document.write( "------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"-4x%2B3y=-14\".....eq.1
\n" ); document.write( "\"-4x-8y=-36\".....eq.2
\n" ); document.write( "------------------------------subtract\r
\n" ); document.write( "\n" ); document.write( "\"-4x%2B3y+-%28-4x-8y%29=-14-%28-36%29\".....eq.1\r
\n" ); document.write( "\n" ); document.write( "\"-4x%2B3y+%2B4x%2B8y=-14%2B36\"\r
\n" ); document.write( "\n" ); document.write( "\"3y+%2B8y=22\"\r
\n" ); document.write( "\n" ); document.write( "\"11y=22\"\r
\n" ); document.write( "\n" ); document.write( "\"y=2\"\r
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\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"-4x-8y=-36\".....eq.2, substitute \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"-4x-8%2A2=-36\"\r
\n" ); document.write( "\n" ); document.write( "\"-4x-16=-36\"\r
\n" ); document.write( "\n" ); document.write( "\"36-16=4x\"\r
\n" ); document.write( "\n" ); document.write( "\"20=4x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=5\"\r
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\n" ); document.write( "\n" ); document.write( "solution:\r
\n" ); document.write( "\n" ); document.write( "\"x=5\"
\n" ); document.write( "\"y=2\"\r
\n" ); document.write( "\n" ); document.write( "intersection point:\r
\n" ); document.write( "\n" ); document.write( "(\"5\",\"2\")\r
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