document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543968>Question 543968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm extremely confused on how to solve a couple of these problems,<BR>\n" );
document.write( "ex:2x-7y=3<BR>\n" );
document.write( "   5x-4y=-6<BR>\n" );
document.write( "using the elimination method, could you explain a simple way of how to solve? I'm just extremely lost and any help would be greatly appreciated.\r<BR>\n" );
document.write( "\n" );
document.write( "thank you, Lexy. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355038 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=355038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x - 7y = 3<BR>\n" );
document.write( "5x - 4y =-6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In the elimination method we multiply one or both equations with values that will<BR>\n" );
document.write( "make the coefficient of one of the variables the same but with with different signs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In the above system, we can multiply the 1st equation by -5 and the 2nd equation by 2, resulting in:<BR>\n" );
document.write( "-10x + 35y = -15<BR>\n" );
document.write( "+10x - 8y = -12<BR>\n" );
document.write( "-----------------adding eliminates x, find y<BR>\n" );
document.write( "27y = -27<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-27%29%2F27 ALIGN=MIDDLE  ALT=\"%28-27%29%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 1st original equation to find x, replace y with -1<BR>\n" );
document.write( "2x - 7(-1) = 3<BR>\n" );
document.write( "2x + 7 = 3<BR>\n" );
document.write( "2x = 3 - 7<BR>\n" );
document.write( "2x = -4<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%2F2 ALIGN=MIDDLE  ALT=\"%28-4%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 2nd equation to check our solutions of x=-2 and y=-1<BR>\n" );
document.write( "5x - 4y =-6<BR>\n" );
document.write( "5(-2) - 4(-1) = -6<BR>\n" );
document.write( "-10 + 4 = -6; confirms our solutions<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Has this helped you find your way in the world of eliminations </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );