document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=457141>Question 457141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve the system of equations by graphing?\r<BR>\n" );
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document.write( "y= -x-12<BR>\n" );
document.write( "4x - 3y= -13\r<BR>\n" );
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document.write( "Are they consistent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313670 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=313670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve the system of equations by graphing? <BR>\n" );
document.write( "y= -x-12<BR>\n" );
document.write( "4x - 3y= -13 <BR>\n" );
document.write( "Are they consistent?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "rewrite:<BR>\n" );
document.write( "y+x=-12<BR>\n" );
document.write( "-3y+4x=-13<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3y+3x=-36 (times first equation by 3)<BR>\n" );
document.write( "-3y+4x=-13<BR>\n" );
document.write( "add<BR>\n" );
document.write( "7x=-49<BR>\n" );
document.write( "x=-7<BR>\n" );
document.write( "y=-12-x=-12-(-7)=12-7=-5<BR>\n" );
document.write( "point of intersection (-7,-5)<BR>\n" );
document.write( "System is consistent<BR>\n" );
document.write( "see graph below as visual check on answer<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-x-12%2C4x%2F3%2B13%2F3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-x-12%2C4x%2F3%2B13%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );