document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224314>Question 224314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve by elimination<BR>\n" );
document.write( "5x+6y=3<BR>\n" );
document.write( "10x+12y=6<BR>\n" );
document.write( "answer is ordered pair integers or fractions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167590 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Phelp me solve by elimination\r<BR>\n" );
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document.write( "5x+6y=3  (Equation 1) or multiplying by 2 to both sides of the equation yields 10x+12y=6<BR>\n" );
document.write( "10x+12y=6  (Equation 2)\r<BR>\n" );
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document.write( "Answer is ordered pair integers or fractions\r<BR>\n" );
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document.write( "Equation 1 is identical to Equation 2 if you multiply Equation 1 by 2.  Therefore you have an infinite set of solutions.   When I do multiply Equation 1 by 2 and subtract Equation 2 from multiplied version of Equation 1, I get 0=0 on both sides of the equation while eliminating both the x and y terms.\r<BR>\n" );
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document.write( "ANSWER:  There are an infinite set of solutions satisfying the system of equations.\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( " </SPAN>\n" );
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