document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201818>Question 201818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following system of equations:\r<BR>\n" );
document.write( "\n" );
document.write( "{4x-7y=-5<BR>\n" );
document.write( " 5x+3y=29\r<BR>\n" );
document.write( "\n" );
document.write( "Does the system have: one solution, no solution or infinite solutions?d </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152044 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=152044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember (1)  if  slopes  are  different, lines  intersect,<BR>\n" );
document.write( "and  this  is  one  solution<BR>\n" );
document.write( "(2) If  lines  are  parallel,  and  lie  on  top  of  each  other, <BR>\n" );
document.write( "They  are  coincident,  and  have  infinite solutions.<BR>\n" );
document.write( "(3) if  lines  are  parallel,  but  not  coincident,  they  have  no  solutions.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since  slope is  best  indicator  of  parallelism,  the  slope  intercept  is  valuable.  Usually  best  to  transform  to  this  style.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "For  this  problem<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(1) 4x-7y = -5,,,,y= (4/7)x + (5/7)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(2) 5x +3y =29,,,,y = (-5/3)x + (29/3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "As  these  have  different  slopes,  they  are  not  parallel,  and  have  one  solution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ref ( 4,3) is  solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );