document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672755>Question 672755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line with slope 3 and containing the point of intersection of 2x+3y-5=0 and 3x-7y+5=0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418287 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=418287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line with slope 3 and containing the point of intersection of 2x+3y-5=0 and 3x-7y+5=0.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "3x-7y+5=0<BR>\n" );
document.write( "2x+3y-5=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6x-14y+10=0 (multiply by 2)<BR>\n" );
document.write( "6x+9y-15=0 (multiply by 3)<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "-23y+25=0<BR>\n" );
document.write( "y=25/23&#8776;1.087<BR>\n" );
document.write( "2x=5-3y=5-75/23<BR>\n" );
document.write( "x=(5-75/23)/2&#8776;0.870<BR>\n" );
document.write( "point of intersection: (0.870,1.087)<BR>\n" );
document.write( "equation of line: y=mx+b<BR>\n" );
document.write( "y=3x+b<BR>\n" );
document.write( "solve for b using coordinates of point of intersection<BR>\n" );
document.write( "1.087=3*.870+b<BR>\n" );
document.write( "b=-1.523<BR>\n" );
document.write( "y=3x-1.523\r<BR>\n" );
document.write( "\n" );
document.write( "comment: what horrible answers!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );