document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24895>Question 24895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "What are the steps to solve a system of linear equation by using the elimination method?  I only know how to use the substitution method.<BR>\n" );
document.write( "Ex.  This one is an example from the text book but I can't really understand.<BR>\n" );
document.write( "Please help,\r<BR>\n" );
document.write( "\n" );
document.write( "     3x - 4y = 1<BR>\n" );
document.write( "     2x + 3y = 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13392 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=13392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solving an equation by Elimination means you want to eliminate one of the variables and solve the equation for the other;<BR>\n" );
document.write( "3x-4y=1<BR>\n" );
document.write( "2x+3y=12<BR>\n" );
document.write( "Let's elinate the y;so we need to make -4y and 3y exact opposites of each other;<BR>\n" );
document.write( "so we wil multiply the first equation by 3;<BR>\n" );
document.write( "(3)3x-4y=1<BR>\n" );
document.write( "9x-12y=3 eq(3)<BR>\n" );
document.write( "And then muliply the second equation by 4;<BR>\n" );
document.write( "(4)2x+3y=12<BR>\n" );
document.write( "8x+12y=48(4)<BR>\n" );
document.write( "Now wehave two new equations and we add those together;<BR>\n" );
document.write( "9x-12y=3<BR>\n" );
document.write( "8x+12y=48<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "17x  =51<BR>\n" );
document.write( "When you add those together the y is eliminated and now solve the equation for x;<BR>\n" );
document.write( "17x=51<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "Now we have an answer for x, so we plug that into oneof the original equations and solve for y;<BR>\n" );
document.write( "3(3)-4y=1<BR>\n" );
document.write( "9-4y=1<BR>\n" );
document.write( "-4y=1-9<BR>\n" );
document.write( "-4y=-8<BR>\n" );
document.write( "y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%2F-4 ALIGN=MIDDLE  ALT=\"%28-8%29%2F-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Hope you understand<BR>\n" );
document.write( "=)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );