document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60176>Question 60176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me.\r<BR>\n" );
document.write( "\n" );
document.write( " I need to solve the system by addition or substitution:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " 3x - 4y = 8<BR>\n" );
document.write( " 6x - 2y = 10\r<BR>\n" );
document.write( "\n" );
document.write( " Thanks,<BR>\n" );
document.write( " Lisa </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41319 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello Lisa,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The given system of equations are :\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3x - 4y = 8 ------------ (1) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6x - 2y = 10 ------------ (2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To solve them by addition or subtraction,  we equalise any one of the terms. That is either the x or the y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, we multiply equation (2) by 2 and subtract equation (1) from (2).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12x - 4y  = 20 \r<BR>\n" );
document.write( "\n" );
document.write( "3x - 4y  = 8\r<BR>\n" );
document.write( "\n" );
document.write( "-   +      - <BR>\n" );
document.write( "--------------- \r<BR>\n" );
document.write( "\n" );
document.write( "9x = 12 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> x = 4/3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Plugging this value in one of the above equation, we get the value of y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3x - 4y = 8 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3(4/3) - 4y = 8 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4 - 4y = 8 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4 - 8 = 4y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-4 = 4y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This implies y = -1 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hence, the answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );