document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=748050>Question 748050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4x - 7y = -23<BR>\n" );
document.write( "8x +5y = 49<BR>\n" );
document.write( "solve the system of equations and enter the solution as an ordered pair </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455322 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x - 7y = -23<BR>\n" );
document.write( "8x + 5y = 49<BR>\n" );
document.write( "Solve the system of equations and enter the solution as an ordered pair.\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply the first equation by 5 and the second equation by 7.\r<BR>\n" );
document.write( "\n" );
document.write( "We then get:\r<BR>\n" );
document.write( "\n" );
document.write( "20x - 35 y = -115\r<BR>\n" );
document.write( "\n" );
document.write( "56x + 35y = 343\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We use the Addition Method:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "20x - 35y + 56x + 35y = -115 + 343\r<BR>\n" );
document.write( "\n" );
document.write( "Combine like terms:\r<BR>\n" );
document.write( "\n" );
document.write( "20x + 56x = 76x\r<BR>\n" );
document.write( "\n" );
document.write( "-35y + 35y = 0\r<BR>\n" );
document.write( "\n" );
document.write( "-115 + 343 = 228\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore:\r<BR>\n" );
document.write( "\n" );
document.write( "76x = 228\r<BR>\n" );
document.write( "\n" );
document.write( "x = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Substitute x = 3 into the original second equation.\r<BR>\n" );
document.write( "\n" );
document.write( "8x + 5y = 49\r<BR>\n" );
document.write( "\n" );
document.write( "8(3) + 5y = 49\r<BR>\n" );
document.write( "\n" );
document.write( "24 + 5y = 49\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 24 from each side of the equation.\r<BR>\n" );
document.write( "\n" );
document.write( "5y = 25\r<BR>\n" );
document.write( "\n" );
document.write( "y = 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "\n" );
document.write( "x = 3 and\r<BR>\n" );
document.write( "\n" );
document.write( "y = 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Lennox Obuong<BR>\n" );
document.write( "Algebra Tutor<BR>\n" );
document.write( "Nairobi, Kenya<BR>\n" );
document.write( "Email: obuong3@aol.com  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );