document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085743>Question 1085743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please may you help me solve this;line A is 3x-4y+11=0 and line B is 2x-3y+9=0.The lines are line A,B and C pass through point A.Without finding point A,find the equation of line C if its slope is -2/3\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699862 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we can write line C in point slope form<BR>\n" );
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document.write( "y = -2x/3 +b<BR>\n" );
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document.write( "3y = -2x +3b<BR>\n" );
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document.write( "2x +3y = 3b<BR>\n" );
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document.write( "we have the following three equations<BR>\n" );
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document.write( "1) 3x -4y = -11<BR>\n" );
document.write( "2) 2x -3y = -9<BR>\n" );
document.write( "3) 2x +3y = 3b<BR>\n" );
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document.write( "add equations 2 and 3 <BR>\n" );
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document.write( "4x = 3b -9<BR>\n" );
document.write( "x = 3b/4 -9/4<BR>\n" );
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document.write( "substitute for x in equations 1 and 2<BR>\n" );
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document.write( "1) 3(3b/4 -9/4) -4y = -11<BR>\n" );
document.write( "9b/4 -27/4 -4y = -11<BR>\n" );
document.write( "9b -27 -16y = -44<BR>\n" );
document.write( "9b -16y = -17<BR>\n" );
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document.write( "2) 2(3b/4 -9/4) -3y = -9<BR>\n" );
document.write( "6b/4 -18/4 -3y = -9<BR>\n" );
document.write( "6b -18 -12y = -36<BR>\n" );
document.write( "6b -12y = -18<BR>\n" );
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document.write( "we have two equations in two unknowns<BR>\n" );
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document.write( "3) 9b -16y = -17<BR>\n" );
document.write( "4) 6b -12y = -18<BR>\n" );
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document.write( "divide both sides of equation 4 by 6<BR>\n" );
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document.write( "b -2y = -3<BR>\n" );
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document.write( "solve for y<BR>\n" );
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document.write( "2y = 3 +b<BR>\n" );
document.write( "y = 3/2 +b/2<BR>\n" );
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document.write( "substitute for y in equation 3<BR>\n" );
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document.write( "9b -16(3/2 +b/2) = -17<BR>\n" );
document.write( "9b -24 -8b = -17<BR>\n" );
document.write( "b = 7<BR>\n" );
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document.write( "y = -2x/3 +7<BR>\n" );
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document.write( "3y = -2x +21<BR>\n" );
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document.write( "2x +3y -21 = 0<BR>\n" );
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