document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147070>Question 1147070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations graphically. If the system does not have a single ordered pair as a​ solution, state whether the system is inconsistent or dependent.\r<BR>\n" );
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document.write( "y= 1/3x+7<BR>\n" );
document.write( "3y=x+21<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 #768363 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Multiply the first equation by 3 (both sides), and you will see that it becomes identical to the second equation.\r<BR>\n" );
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document.write( "It means that the two equations are EQUIVALENT and represent the same line.\r<BR>\n" );
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document.write( "Such equations/systems are called <U>dependent</U>.\r<BR>\n" );
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document.write( "They have INFINITELY MANY solutions (all points of coinciding straight lines).\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometric interpretation of the linear system of two equations in two unknowns</A> \r<BR>\n" );
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document.write( "in this site for more information.\r<BR>\n" );
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