document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205725>Question 1205725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> So, my problem is this I solved it once and I got it wrong can you guys help me out?<BR>\n" );
document.write( "8x-6y=-2<BR>\n" );
document.write( "8x+5y=-13\r<BR>\n" );
document.write( "\n" );
document.write( "I am supposed to use the elimination method and get an ordered pair and I am still confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842721 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=842721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Notice the 8x terms are in common to both equations.<BR>\n" );
document.write( "This will allow us to subtract the equations straight down to eliminate the x terms entirely.<BR>\n" );
document.write( "The y terms subtract to -11y.<BR>\n" );
document.write( "The right hand sides subtract to 11.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We end up with -11y = 11 that solves to y = -1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then use that y value to find x.<BR>\n" );
document.write( "Let's say we plugged it into the 1st equation.<BR>\n" );
document.write( "8x - 6y = -2<BR>\n" );
document.write( "8x - 6(-1) = -2<BR>\n" );
document.write( "8x + 6 = -2<BR>\n" );
document.write( "8x = -2-6<BR>\n" );
document.write( "8x = -8<BR>\n" );
document.write( "x = -8/8<BR>\n" );
document.write( "x = -1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Or we could pick on the 2nd equation instead.<BR>\n" );
document.write( "8x+5y = -13<BR>\n" );
document.write( "8x+5(-1) = -13<BR>\n" );
document.write( "8x-5 = -13<BR>\n" );
document.write( "8x = -13+5<BR>\n" );
document.write( "8x = -8<BR>\n" );
document.write( "x = -8/8<BR>\n" );
document.write( "x = -1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The answer as an ordered pair is <font color=red size=4>(x,y) = (-1,-1)</font><BR>\n" );
document.write( "This is where the two lines intersect.<BR>\n" );
document.write( "A graphing tool like Desmos can be used to confirm. GeoGebra is another recommended tool.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Another way to check is to plug x = -1 and y = -1 into each original equation. Then simplify. <BR>\n" );
document.write( "You should get the same number on both sides. <BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );