document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187419>Question 187419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x + 2y=8 and 4x-6y=36\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution (6,2) how did my text book come up with thesesolutions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140483 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming you are expected to solve a system linear equations using the \"elimination method\":<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2x + 2y = 8<BR>\n" );
document.write( "4x - 6y = 36 <BR>\n" );
document.write( ".<BR>\n" );
document.write( "multiply both sides of the top equation and add it to the second:<BR>\n" );
document.write( "6x + 6y = 24<BR>\n" );
document.write( "4x - 6y = 36<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "10x     = 60<BR>\n" );
document.write( "Dividing both sides by 10:<BR>\n" );
document.write( "x = 6 <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, we plug the value above into either equation to find y.  Let's pick the top one:<BR>\n" );
document.write( "2x + 2y = 8<BR>\n" );
document.write( "2(6) + 2y = 8<BR>\n" );
document.write( "12 + 2y = 8<BR>\n" );
document.write( "2y = -4<BR>\n" );
document.write( "y = -2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "(x,y) = (6, -2)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );