document.write( "Question 373011: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.\r
\n" ); document.write( "\n" ); document.write( "-x + 6y = 54\r
\n" ); document.write( "\n" ); document.write( "3x + y = 9\r
\n" ); document.write( "\n" ); document.write( "Can someone please help me? I am completely lost and am working toward a huge deadline!
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Algebra.Com's Answer #265598 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"3x+%2B+y+=+9\" Start with the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+9-3x\" Subtract 3x from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-x+%2B+6y+=+54\" Go back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"-x+%2B+6%289-3x%29+=+54\" Plug in \"y+=+9-3x\"\r
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\n" ); document.write( "\n" ); document.write( "\"-x%2B54-18x=54\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"-19x%2B54=54\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-19x=54-54\" Subtract \"54\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-19x=0\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%280%29%2F%28-19%29\" Divide both sides by \"-19\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=0\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+9-3x\" Go back to the previously isolated equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+9-3%280%29\" Plug in \"x=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+9-0\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"y=9\" Subtract.\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=0\" and \"y=9\" which form the ordered pair (0,9)\r
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\n" ); document.write( "\n" ); document.write( "So this means that the system is consistent and independent.\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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