document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113461>Question 113461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i am coming up with inconsistant for the following system:<BR>\n" );
document.write( "{2x-3y=15<BR>\n" );
document.write( "{    y=(2/3)x-10.<BR>\n" );
document.write( "am i correct in saying this system is inconsistant? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82534 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=82534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x-3y=15<BR>\n" );
document.write( " y=(2/3)x-10.<BR>\n" );
document.write( "am i correct in saying this system is inconsistant?<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Putting both in slope-intercept form you get:<BR>\n" );
document.write( " y = (2/3)x -5<BR>\n" );
document.write( " y = (2/3)x-10<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "These are parallel lines because their slopes are the same.<BR>\n" );
document.write( "They are different lines because their y-intercepts are different.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The system is inconsistent because there is no x/y pair that<BR>\n" );
document.write( "satisfies both equations.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );