document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217529>Question 217529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system of equations using the addition method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not specify whether the answer is no solution or infinitely many solutions.<BR>\n" );
document.write( "3x-11y = 9<BR>\n" );
document.write( "-9x+ 33y = -27 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164017 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=164017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using the addition method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not specify whether the answer is no solution or infinitely many solutions.]\r<BR>\n" );
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document.write( "3x-11y = 9  Equation A<BR>\n" );
document.write( "-9x+ 33y = -27  Equation B\r<BR>\n" );
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document.write( "Step 1.  Multiply Equation A by 3:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3x-3%2A11=9%2A3 ALIGN=MIDDLE  ALT=\"3%2A3x-3%2A11=9%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get Equation A1 below:\r<BR>\n" );
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document.write( "9x-33y=27   Equation A1<BR>\n" );
document.write( "-9x+33y=-27  Equation B\r<BR>\n" );
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document.write( "Step 2.  Add Equations A1 and B to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x-9x-33y%2B33y=27-27 ALIGN=MIDDLE  ALT=\"9x-9x-33y%2B33y=27-27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that there are many solutions and these equations are not independent.\r<BR>\n" );
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document.write( "Step 3. ANSWER:  There are an infinite number of solutions that satisfies the above linear 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 in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "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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