document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136760>Question 1136760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system using the elimination method. Check the solution by substituting into both of the original equations. (If there are infinitely many solutions, enter INFINITELY MANY. If there is no solution, enter NO SOLUTION.)\r<BR>\n" );
document.write( "\n" );
document.write( "−4x+2y=16<BR>\n" );
document.write( "8x−2y=−40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754551 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the two equations are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-4x + 2y = 16<BR>\n" );
document.write( "8x -2y = -40\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "add the two equations together to get 4x = -24\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for x to get x = -6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "replace x with -6 in the first equation to get -4 * -6 + 2y = 16\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get 24 + 2y = 16\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 24 from both sides to get 2y = 16 - 24\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get 2y = -8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for y to get y = -8 / 2 = -4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = -6<BR>\n" );
document.write( "y = -4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "replace x and y in both original equations by -6 and -4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the two original equations are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-4x + 2y = 16<BR>\n" );
document.write( "8x - 2y - -40\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "after replacement, these equations become:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-4 * -6 + 2 * -4 = 16 becomes 24 - 8 = 16 which becomes 16 = 16.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8 * -6 - 2 * -4 = -40 becomes -48 - (-8) = -40 which becomes -48 + 8 = -40 which becomes -40 = -40.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the solutions are confirmed to be good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the solutions are x = -6 and y = -4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );