document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174607>Question 174607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using the addition (elimination) method. <BR>\n" );
document.write( "If the answer is a unique solution, present it as an order pair:(x,y).<BR>\n" );
document.write( "If not, specify whether the answer is \"no solution\" or \"infinitely many solutions\".\r<BR>\n" );
document.write( "\n" );
document.write( "6x + 2y =2<BR>\n" );
document.write( "3x + 5y =5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4x-3y=1<BR>\n" );
document.write( "-12+9y=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129626 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "6x+2y=2.....eq 1<BR>\n" );
document.write( "3x+5y=5.....eq 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply eq 2 by -2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "6x+2y=2.....eq 1<BR>\n" );
document.write( "-6x-10y=-10.eq 2 revised<BR>\n" );
document.write( ":<BR>\n" );
document.write( "now add the two equations together. As you can see the x terms are eliminated because 6x-6x=0.  We are left with 2y-10y=2-10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-8y=-8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=1%29 ALIGN=MIDDLE  ALT=\"highlight%28y=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "now substitute our found value of y into either eq 1 or 2 and solve for x. I choose eq 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "6x+2(1)=2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "6x+2=2<BR>\n" );
document.write( "6x=0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "ordered pair solution is (0,1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B)lets re write these equations in point intercept form<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-3y=-4x+1--->y=(4/3)x-1/3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "9y=12x+5--->y=(4/3)x+5/9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "as one can see the slopes are equal which means these lines are parallel to one another therefore NO solutions </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );