document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675286>Question 675286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> im trying to do the elimination method for this problem: 2x+6y=8<BR>\n" );
document.write( "                                                         3x+9y=12<BR>\n" );
document.write( "please help thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419699 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=419699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+6y=8<BR>\n" );
document.write( "3x+9y=12<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Multiply the first equation by 3 and the second by -2, to get<BR>\n" );
document.write( "3(2x+6y=8)<BR>\n" );
document.write( "-2(3x+9y=12)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "6x + 18y = 24<BR>\n" );
document.write( "-6x - 18y = -24<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Add the equatins<BR>\n" );
document.write( "6x + -6x + 18y + -18y = 24 + -24<BR>\n" );
document.write( "0 = 0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Meaning that these are the same line, intersecting at every point.<BR>\n" );
document.write( "It is a dependent system.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "CHECK<BR>\n" );
document.write( "2x + 6y = 8<BR>\n" );
document.write( "6y = -2x + 8<BR>\n" );
document.write( "y = (-2/6)x + (8/6)<BR>\n" );
document.write( "y = (-1/3)x + (4/3)-->linear equation<BR>\n" );
document.write( "...<BR>\n" );
document.write( "3x+9y=12<BR>\n" );
document.write( "9y = -3x + 12<BR>\n" );
document.write( "y = (-3/9)x + 12/9<BR>\n" );
document.write( "y  (-1/3)x + 4/3 --> same linear equation<BR>\n" );
document.write( "Hence, they are the same line, where the solution is the entire line.<BR>\n" );
document.write( ".....................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
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document.write( " </SPAN>\n" );
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