document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37417>Question 37417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Graphs of ax+by=13 and ax-by=-3 instersect at (1,4). Find a and b. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23073 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you know both lines go thru (1, 4), you can plug x = 1 and y = 4 in both and get<BR>\n" );
document.write( "a + 4b = 13  and<BR>\n" );
document.write( "a - 4b = -3<BR>\n" );
document.write( "Now add equations and get<BR>\n" );
document.write( "2a = 10 and<BR>\n" );
document.write( "a = 5<BR>\n" );
document.write( "You can also subtract equations and get<BR>\n" );
document.write( "8b = 16<BR>\n" );
document.write( "b = 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );