document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192610>Question 192610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> decide whether the pair of lines is parallell, perpendiculr or neither:?<BR>\n" );
document.write( "3x + 2y = 3<BR>\n" );
document.write( "2x + 3y =8\r<BR>\n" );
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document.write( "solve the following syestem of equations <BR>\n" );
document.write( " x + 4y = 7 <BR>\n" );
document.write( " x = 2 -4y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144607 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=144607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> checking  the  slopes  by  using  the  slope  intercept  form, (y=mx+b),  we  define  parallel if  m1=m2,  and  perpendicular  if  m1=1/-m2.\r<BR>\n" );
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document.write( "3x+2y=3<BR>\n" );
document.write( "subt  3x  both sides<BR>\n" );
document.write( "2y=-3x+3<BR>\n" );
document.write( "divide  by 2 both  sides<BR>\n" );
document.write( "y=(-3/2)x+(3/2),  therefore  slope  if  (-3/2)\r<BR>\n" );
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document.write( "2x+3y=8<BR>\n" );
document.write( "subt 2x both sides<BR>\n" );
document.write( "3y=-2x+8<BR>\n" );
document.write( "divide  both  sides  by  3<BR>\n" );
document.write( "y=(-2/3)x +8,  therefore  slope  is  (-2/3)\r<BR>\n" );
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document.write( "comparing  slopes  0f  (-3/2)  and  (-2/3)  they  are  neither  parallel  nor  perpendicular\r<BR>\n" );
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document.write( "second  problem\r<BR>\n" );
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document.write( "(1)  x+4y=7<BR>\n" );
document.write( "(2)  x=2-4y<BR>\n" );
document.write( "substitute  (2)  into  (1)\r<BR>\n" );
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document.write( "(2-4y) +4y=7<BR>\n" );
document.write( "2=7<BR>\n" );
document.write( "therefore  no  solutions\r<BR>\n" );
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document.write( "restating  (2)  as  x+4y=2\r<BR>\n" );
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document.write( "we  can  see  that  (1)  & (2)  are  parallel  with  different  y  intercepts   </SPAN>\n" );
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